Foliations, submanifolds, and mixed curvature
type: Item
instance of: scholarly article
title: Foliations, submanifolds, and mixed curvature
zbMATH Open document ID: 0964.53001
DOI: 10.1007/BF02684076
published in: Journal of Mathematical Sciences (New York)
publication date: 2000-09-14T00:00:00Z
review text: The main purpose of this survey is to present the differential geometry (d.g.) of foliations with a nonnegative mixed curvature and the d.g. of submanifolds in a Riemannian space of nonnegative curvature. The paper contains: 1) Foliated manifolds; 2) Foliations on Riemannian manifolds (basic facts from the theory of submanifolds, main tensors of a foliation, Riemannian almost-product structure, constructions of totally geodesic and totally umbilical foliations, Riemannian foliations); 3) Foliations and a mixed curvature (foliations and curvature, Jacobi vector fields, foliations by geodesics with \(K_{\text{mix}}> 0\), splitting foliations with nonnegative mixed curvature, integral formulas for mixed curvature, foliations with positive partial mixed curvature, transversal totally geodesic foliations and submersions); 4) Foliations and submanifolds (submanifolds with generators in Riemannian spaces, submanifolds with nonpositive extrinsic \(q\)-dimensional Ricci curvature, submanifolds with generators in Euclidean and Lobachevsky spaces, decomposition of ruled and parabolic submanifolds, pseudo-Riemannian isometric immersions). The methods of study are local and global. Some examples and applications are considered. The exposition is based on the author's results and it is clear.
reviewed by: Costache Apreutesei
Mathematics Subject Classification ID: 53-02
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1506092
zbMATH Keywords: hyperbolic space
zbMATH Keywords: foliated manifold
zbMATH Keywords: foliations on Riemannian manifold
zbMATH Keywords: mixed curvature
zbMATH Keywords: splitting foliations
zbMATH Keywords: integral formula
zbMATH Keywords: totally geodesic foliation
zbMATH Keywords: submersion
zbMATH Keywords: parabolic submanifold
zbMATH Keywords: pseudo-Riemannian isometric immersion
author: Vladimir Yu. Rovenskij
MaRDI profile type: Publication
cites work: Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
cites work: Some remarks on a class of submanifolds in space forms of non-negative curvature
cites work: Ruled hypersurfaces of Euclidean space
cites work: Relative nullity foliations and indefinite isometric immersions
cites work: Indefinite Kähler submanifolds with positive index of relative nullity
cites work: Q3138451
cites work: On ruled real hypersurfaces in a complex space form
cites work: Q3135129
cites work: Isometric immersions of Riemannian products in Euclidean space
cites work: Cylindricity of Isometric Immersions between Hyperbolic Spaces
cites work: Ruled submanifolds with finite type Gauss map
cites work: Q3985073
cites work: Q3202795
cites work: Ruled Submanifolds of Space Forms with Mean Curvature of Nonzero Constant Length
cites work: Q3333688
cites work: Isometric immersions of Riemannian products revisited
cites work: Q3138456
cites work: Metric Flows in Space Forms of Nonpositive Curvature
cites work: Q3274628
cites work: Sur les variétés riemanniennes pincées juste au-dessous de 1/4
cites work: Q4877707
cites work: Q4169382
cites work: Manifolds of Negative Curvature
cites work: Ruled surfaces with vanishing second Gaussian curvature
cites work: Q3879882
cites work: COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
cites work: An analogue of the holonomy bundle for a foliated manifold
cites work: Q4871896
cites work: Completeness of curvature surfaces of submanifolds in complex space forms
cites work: Q3935097
cites work: Q3871526
cites work: On complete parabolic surfaces
cites work: Q3764847
cites work: A characteristic property of multidimensional cylindrical surfaces
cites work: Q3349529
cites work: Q3771203
cites work: Riemannian geometry of fibre bundles
cites work: Q4851971
cites work: Totally geodesic foliations with integrable normal bundles
cites work: Codimension one totally geodesic foliations of \(H^ n\)
cites work: Q4321739
cites work: Totally umbilic Riemannian foliations
cites work: Q3684836
cites work: Holomorphic immersions between compact hyperbolic space forms
cites work: Rotation Hypersurfaces in Spaces of Constant Curvature
cites work: Local isometric immersions of R2 into R4.
cites work: Q4852335
cites work: Lower bounds on Ricci curvature and the almost rigidity of warped products
cites work: Q5678153
cites work: Q3928638
cites work: Q4883994
cites work: Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
cites work: Q3790239
cites work: On the Gauss map of ruled surfaces in a 3-dimensional Minkowski space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A warped product splitting theorem

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Rigidity of complete Euclidean hypersurfaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On isometric immersions into complex space forms

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Ruled Submanifolds of Finite Type

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Ruled surfaces of finite type in 3-dimensional Minkowski space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Jacobi fields, totally geodesic foliations and geodesic differential forms

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations with all leaves compact

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q5289152

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3126951

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Another Report on Harmonic Maps

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Comparison theory for Riccati equations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Jacobi tensors and Ricci curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian submersions with totally geodesic fibers

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian submersions from complex projective space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian metrics on fiber spaces. I

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian metrics in fiber spaces. II: The metric of a Grassmann foliation

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Symmetric submanifolds of Euclidean space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Finite type ruled manifolds shaped on spherical submanifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: DEVELOPABLE COMPLEX ANALYTIC SUBMANIFOLDS

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On submanifolds with nonpositive extrinsic curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Manifolds with positive curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A Note on Skew-Hopf Fibrations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3918697

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3940429

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4310847

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Geometric properties of some classes of Riemannian almost-product manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3894688

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Great circle fibrations of the three-sphere

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The geometry of the Hopf fibrations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Fibrations of spheres by parallel great spheres and Berger's rigidity theorem

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the volume of a unit vector field on the three-sphere

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4878315

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Geodesic spheres and isometric flows

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4730398

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A remark on foliations on a complex projective space with complex leaves

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Spaces of Constancy of Curvature Operators

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q5525168

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The low-dimensional metric foliations of Euclidean spheres

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A generalization of Berger's rigidity theorem for positively curved manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Partial Differential Relations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Fibrations of spheres by great spheres over division algebras and their differentiability

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The integral of the scalar curvature of complete manifolds without conjugate points

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4095518

Foliations, submanifolds, and mixed curvature (cites work)
cites work: An Example Relevant to Curvature Pinching Theorems for Riemannian Foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Introduction to the Geometry of Foliations, Part A

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometrische Immersionen der Kodimension 2 von Raumformen

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Über sphärische Blätterungen und die Vollständigkeit ihrer Blätter

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Über die Abbildungen von Sphären auf Sphäre niedrigerer Dimension

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3334558

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Product complex sumanifold of indefinite complex space forms

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Radii of Immersed Manifolds and Nonexistence of Immersions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometric Embedding of a Compact Riemannian Manifold into Euclidean Space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Minimal hypersurfaces foliated by spheres

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations on manifolds with positive constant curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Curvature properties of harmonic foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian foliations on manifolds with non-negative curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Transversal Jacobi fields for harmonic foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4733040

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4291866

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Hadamard-Frankel type theorems for manifolds with partially positive curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Intersections of minimal submanifolds in manifolds of partially positive curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Ruled real hypersurfaces of a complex space form

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4024763

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q5731354

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4309481

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3353819

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On tubes of nonconstant radius

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3143046

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4326751

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Contact metric manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Generalized symmetric submanifolds of Euclidean spaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4307989

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Total curvature of foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Fundamental groupoid and holonomy of some regular foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Complete minimal surfaces in \(S^ 3\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Homogeneous Foliations of Spheres

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3363812

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A Short Proof of the Frobenius Theorem

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4303031

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The nullity spaces of curvature-like tensors

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3808826

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Minimal foliations on Lie groups

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4276583

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Symmetry and minimality properties for generalized ruled submanifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4264700

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Some examples of Riemannian almost-product manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3756919

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometric immersions of Riemannian products

Foliations, submanifolds, and mixed curvature (cites work)
cites work: An application of second variation to submanifold theory

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Conformally flat submanifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3316177

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3324604

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Second fundamental form of a map

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Nonnegatively Curved Submanifolds in Codimension Two

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian Hilbert submanifolds of nonpositive extrinsic curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4857696

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometric immersion of flat Riemannian manifolds in Euclidean space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Umbilics of constant curvature immersions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: An upcrossing inequality with applications

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Submersions and geodesics

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometric immersions of constant curvature manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic foliations and Killing fields

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic foliations and Killing fields. II

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Mean curvature functions of codimension-one foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Mean curvature functions of codimension-one foliations. II

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the existence of solutions of a system of quadratic equations and its geometrical application

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On one-dimensional metric foliations in Einstein spaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4304546

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Proof of the soul conjecture of Cheeger and Gromoll

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4301723

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Great sphere fibrations of manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Twisted products in pseudo-Riemannian geometry

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4328019

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Structural equations and an integral formula for foliated manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Completeness of curvature surfaces of an isometric immersion

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A fiber bundle theorem

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q5815058

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4743396

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliated manifolds with bundle-like metrics

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3825696

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Some geometric consequences of the Weitzenböck formula on Riemannian almost-product manifolds; weak-harmonic distributions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3357031

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian manifolds of constant nullity

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3959062

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Remarks on complete parabolic surfaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Metric structure of ruled and parabolic surfaces in \(S^ m\) and \(CP^ m\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3473746

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The characterization of totally geodesic submanifolds of \(S^ m\) and \(CP^ m\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic foliations with nearly-integrable orthogonal distribution

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Skew Hopf fibrations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Conditions for the decomposition of ruled and parabolic surfaces in \(S^ m\) and \(CP^ m\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The partial Ricci curvature of a manifold inside a cylinder or cone in a Euclidean space

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Classes of submersions of Riemannian manifolds with compact fibers

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations, submanifolds, and mixed curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4895909

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the role of partial Ricci curvature in the geometry of submanifolds and foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4353358

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Differential forms, Weitzenböck formulae and foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On Hypersurfaces with no Negative Sectional Curvatures

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3844833

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the differential geometry of tangent bundles of Riemannian manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the differential geometry of tangent bundles of Riemannian manifolds. II

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The nullity spaces of the conformal curvature tensor

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On Complete Manifolds of Nonnegative kth-Ricci Curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3138489

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Ehresmann connection for the canonical foliation on a manifold over a local algebra

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the theory of mappings of Riemannian manifolds ``in the large''

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4847029

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On the global theory of some classes of mappings

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Symmetric submanifolds of Riemannian manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4020757

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A homological characterization of foliations consisting of minimal surfaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4003297

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic foliations with compact leaves

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On minimal \(n\)-dimensional submanifolds of a space form \(R^m(k)\), which are foliated by (\(n-1\))-dimensional totally geodesic submanifolds of \(R^m(k)\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A theory on non-developable generalized ruled surfaces in the elliptic space $E^m$

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The geometrical structure in a generic generating space of a non- developable generalized ruled surface in the hyperbolic space \(H^ m\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations on Riemannian manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4337693

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4284876

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Jacobi fields, Riccati equation and Riemannian foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Cylinder theorems for convex hypersurfaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A characteristic property of a four-dimensional symmetric space of rank I

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Extremal theorems for Riemann spaces with curvature bounded above. I

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Riemannian spaces of diameter \(\pi\)

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic submanifolds of Riemannian manifolds and curvature-invariant subspaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3363904

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Totally geodesic maps

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Special connections and almost foliated metrics

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations invariant under the mean curvature flow

Foliations, submanifolds, and mixed curvature (cites work)
cites work: A finiteness theorem for Riemannian submersions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Mean curvature functions for codimension-one foliations with all leaves compact

Foliations, submanifolds, and mixed curvature (cites work)
cites work: An integral formula for a Riemannian manifold with two orthogonal complementary distributions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Jacobi operator for leaf geodesics

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3138498

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Foliations of Symmetric Spaces

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Almost Hermitian submersions

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4028597

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The radius rigidity theorem for manifolds of positive curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The graph of a foliation

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4895936

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Ehresmann connections for Lagrangian foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The graph of a totally geodesic foliation

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Pierrot's theorem for singular Riemannian foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3780060

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q4857717

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Smooth Great Circle Fibrations and an Application to the Topological Blaschke Conjecture

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Harmonic and relatively affine mappings

Foliations, submanifolds, and mixed curvature (cites work)
cites work: \(A_{\nu}\)-operator on complete foliated Riemannian manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: The non-existence of Killing fields

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Green's theorem on a foliated Riemannian manifold and its applications

Foliations, submanifolds, and mixed curvature (cites work)
cites work: On continuous geodesic foliations of hyperbolic manifolds

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Applied geodesic foliations

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Isometric embedding of Kähler manifolds with nonpositive sectional curvature

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3776955

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Q3811374

Foliations, submanifolds, and mixed curvature (cites work)
cites work: Stability criterion of leaves of Riemannian foliations with singularities

Foliations, submanifolds, and mixed curvature (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf02684076

Foliations, submanifolds, and mixed curvature (OpenAlex ID)
OpenAlex ID: W2139686619