Foliations
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Publication:1162026
DOI10.1007/BF01255616zbMath0479.57014OpenAlexW4211189901MaRDI QIDQ1162026
Publication date: 1981
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01255616
bibliographyholonomycharacteristic classesRiemannian foliationsgrowth of leavescompact foliationsclassification of foliationssurvey on works on the theory of foliationsthe qualitative theory of foliations
Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)
Cites Work
- Extending regular foliants
- Feuilletages ayant la propriété du prolongement des homotopies
- Feuilletages sur les variétés ouvertes
- Reeb foliations
- Un exemple de feuilletage sur \(S^ 3\)
- The vanishing of the homology of certain groups of homeomorphisms
- Sur les feuilletages des variétés de dimension trois
- Un théorème de conjugaison des feuilletages
- Les feuilles exceptionnelles ne sont pas exceptionnelles
- Topological equivalence of Reeb foliations
- Homotopie et holonomie de certains feuilletages de codimension 1. (Homotopy and holonomy of certain foliations of codimension 1)
- Foliations and compact Lie group actions
- Fibered knots and foliations of highly-connected manifolds
- Foliations of odd-dimensional spheres
- Periodic flows on three-manifolds
- A remark on the integral cohomology of \(B\Gamma_q\)
- Feuilletages transversalement analytiques de codimension un admettant une transversale fermée qui coupe toutes les feuilles
- Codimension-one foliations of spheres
- Remarks on codimension one foliations of spheres
- Foliations of total spaces of sphere bundles over spheres
- Sur l'existence des feuilletages \(S^1\)-invariants
- Vector fields tangent to foliations. I: Reeb foliations
- Every odd dimensional homotopy sphere has a foliation of codimension one
- Holomorphe Blätterungen komplexer Räume
- Sur quelques phénomènes de captage
- Fibres en droites et feuilletages du plan
- A generalization of the Poincaré-Bendixson theorem for foliations of codimension one
- Asymptotic properties of foliations
- On unitary representations of the group of diffeomorphisms of a compact manifold
- Feuilletage à singularites de variétés de dimension 3 (Théoreme de J. Wood)
- Feuilletages de codimension 1 sur les variétés simplement connexes de dimension 5
- Characteristic invariants of foliated bundles
- Local complex foliation of real submanifolds
- Foliations and spinnable structures on manifolds
- Propriétés cohomologiques et propriétés topologiques des feuilletages à connexion transverse projetable
- Étude des \(\Gamma\) structures de codimension 1 sur la sphère \(S^2\)
- Codimension $1$ foliations on simply connected $5$-manifolds
- An application of the Morse theory to foliated manifolds
- Complex Analytic Connections in Fibre Bundles
- Harmonic Integrals on Foliated Manifolds
- The extension of G-foliations to Tangent bundles of higher order
- Foliations and groups of diffeomorphisms
- Foliations of 3-Manifolds
- Round handles and homotopy of nonsingular vector fields
- Singularities and bordism of 𝑞-plane fields and of foliations
- Erratum to "Transversally Parallelizable Foliations of Codimension Two"
- ISOLATED ENDS OF OPEN LEAVES OF CODIMENSION-ONE FOLIATIONS
- Holonomy and Metric Properties of Foliations in Higher Codimension
- Closed Leaves in Foliated 3-Manifolds
- When is a manifold a leaf of some foliation?
- Shorter Notes: The Levi Form and Local Complex Foliations
- Two Foliations in the Plane
- Existence of regular coverings associated with leaves of codimension one foliations
- Open leaves in closed 3-manifolds
- Reduction des Points Singuliers Des Feuilletages a Singularites Non Degenerees de M3
- A new flow
- On a class of foliations and the evaluation of their characteristic classes
- Holonomy Invariant Cochains for Foliations
- Residues and characteristic classes of foliations
- Obstructions to foliation preserving Lie group actions
- Foliations with trivial \(\mathcal J\)-subgroups
- Exotic characteristic classes of certain \(\Gamma\)-foliations
- Classes caractéristiques exotiques et J-connexité des espaces de connexions
- Deformations of secondary characteristic classes
- Singularities of holomorphic foliations
- Stable foliations of 4-manifolds by closed surfaces. I: Local structure and free actions of finite cyclic and dihedral groups on surfaces
- Codimension one foliations of closed manifolds
- A counterexample to the periodic orbit conjecture in codimension 3
- e-foliations of codimension two
- The secondary characteristic classes of parabolic foliations
- On the structure of foliated 3-manifolds separated by a compact leaf
- A remark on the group of automorphisms of a foliation having a dense leaf
- On the existence of exceptional minimal sets in foliations of codimension one
- Counterexamples to the Seifert conjecture and opening closed leaves of foliations
- Opening closed leaves in foliated 3-manifolds
- Foliated cobordisms of S\(^3\) and examples of foliated 4-manifolds
- The theory of foliations of codimension greater than one
- Structure of foliation singularities
- The structure of foliations without holonomy on non-compact manifolds with fundamental group Z
- Foliations and foliated cobordisms of spheres in codimension one
- Commutators of diffeomorphisms. II
- Sur la géométrie transverse des feuilletages
- Feuilles non captées et feuilles denses
- A generalization of the Reeb stability theorem
- A cohomology for foliated manifolds
- Exotic characteristic classes and subfoliations
- Characteristic classes of foliated principal \(\text{GL}_r\)-bundles
- Quelques exemples de feuilletages especes rares
- Some remarks on stability of foliations
- On the volume-preserving foliations
- Foliations with measure preserving holonomy
- Foliations of codimension 2 with all leaves compact
- On characteristic classes of Riemannian, conformal and projective foliations
- Examples of foliations with non trivial exotic characteristic classes
- Closed leaves in foliations of codimension one
- Feuilletages des variétés compactes et non compactes
- A remark on Thurston's stability theorem
- Foliated bundles, invariant measures and flat manifolds
- Multifoliations on open manifolds
- Compact leaves with Abelian holonomy
- Feuilletage et difféomorphismes infiniment tangents à l'identité
- Cobordism through one-codimensional foliations
- Holonomie et feuilles exceptionnelles
- Closed transversals and the genus of closed leaves in foliated 3- manifolds
- Cycles for the dynamical study of foliated manifolds and complex manifolds
- On two theorems of A. Haefliger concerning foliations
- A generalization of Milnor's inequality concerning affine foliations and affine manifolds
- Vector fields tangent to foliations. II: Handlebody foliations
- On the de Rham theory of certain classifying spaces
- A remark on the continuous variation of secondary characteristic classes for foliations
- A class of complex analytic foliate manifolds with rigid structure
- On stability of compact leaves and fibrations
- The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations
- Existence of codimension-one foliations
- Polynomial growth in holonomy groups of foliations
- Sur les feuilletages induits par l'action de groupes de Lie nilpotents
- Secondary characteristic classes for Riemannian foliations
- The holonomy ring on the leaves of foliated manifolds
- Behaviour of leaves of codimension-one foliations
- On stability of proper leaves of codimension one foliations
- Exotic characteristic classes for holomorphic foliations
- Leaf invariants for foliations and the van Est isomorphism
- A periodic flow with infinite Epstein hierarchy
- Residues and characteristic classes for Riemannian foliations
- Growth of leaves
- Foliations of codimension 2 with all leaves compact on closed 3-, 4-, and 5-manifolds
- A remark on the foliated cobordisms of codimension-one foliated 3- manifolds
- The second fundamental form of a plane field
- Leaves whose growth is neither exponential nor polynomial
- Open manifolds foliated by planes
- Ein geometrisches Endlichkeitskriterium für Untergruppen von Aut(C,0) und holomorphe 1-codimensionale Blätterungen
- Leaves with isolated ends in foliated 3-manifolds
- \(\Gamma\)-foliations and semisimple flat homogeneous spaces
- On a class of foliations and the evaluation of their characteristic classes
- Cartan connection and characteristic classes of foliations
- Simplicial K (G,l)'s
- Feuilletages des variétés de dimension 3 qui sont des fibres en cercles
- Independent variation of secondary classes
- A finiteness theorem for foliated manifolds
- Residues and secondary characteristic classes for projective foliations
- Classifying spaces related to foliations
- Feuilles compactes des feuilletages algébriques
- A foliation of geodesics is characterized by having no tangent homologies
- Ends of leaves of codimension-one foliations
- The surgery of codimension-one foliations
- Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case
- Derivatives of secondary characteristic classes
- Fibrés vectoriels feuilletés
- A homological characterization of foliations consisting of minimal surfaces
- Residues of singularities of holomorphic foliations
- Singularities of analytic foliations and characteristic classes
- On the de Rham cohomology of the leaf space of a foliation
- Secondary obstructions to foliations
- Integrability in codimension 1
- Commutators of diffeomorphisms
- Sur le théorème de Poincaré-Bendixson
- A two-dimensional foliation of S\(^7\)
- Vector fields and characteristic numbers
- Foliations on 3-manifolds
- Manifolds as open books
- Foliations with all leaves compact
- Foliations with all leaves compact
- Conformal foliations
- Foliations
- Examples of foliations with non trivial exotic characteristic classes
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- On foliations and exotic characteristic classes
- ON EXTENDING LOCAL FOLIATIONS
- Étude des feuilletages transversalement complets et applications
- The Closed Leaf Index of Foliated Manifolds
- Multifoliations on Mn ×S 1 Where Mn is a Stably Parallelizable Manifold
- Leaves Without Holonomy
- Holomorphic Foliations and the Kobayashi Metric
- Variations, Characteristic Classes, and the Obstruction to Mapping Smooth to Continuous Cohomology
- Average Gaussian curvature of leaves of foliations
- Leaf Prescriptions for Closed 3-Manifolds
- On the singularities of foliations and of vector bundle maps
- 𝐺-foliations and their characteristic classes
- On Nontrivial Characteristic Classes of Contact Foliations
- Foliations Transverse to Fibers of a Bundle
- A cohomology for foliated manifolds
- AFFINE FOLIATIONS OF CODIMENSION ONE
- Transversally Parallelizable Foliations of Codimension Two
- Simplicity of certain groups of diffeomorphisms
- Smooth maps transverse to a foliation
- Foliations of codimension one
- Codimension-one foliations of spheres
- Approximation of Foliations
- On Haefliger's classifying space. I
- Spinnable structures on differentiable manifolds
- Smoothing One-Dimensional Foliations on S1 x S1
- On characteristic classes of $\Gamma $-foliations
- Qualitative theory of codimension-one foliations
- A Metric Formula for the Godbillon-Vey Invariant for Foliations
- Qualitative Theory of Codimension-One Foliations
- Noncobordant foliations of 𝑆³
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