Differential geometry of submanifolds

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Nets of manifolds, Normal connection and submanifolds with parallel normal fields in a space of constant curvature, Embedding problems: Geometric and topological aspects, Normal connection in the geometry of normalized submanifolds of affine space

Cites Work

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A note on minimal varieties
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Pseudo-umbilical submanifolds with $M$-index $łeq 1$ in Euclidean spaces
Some Integral Formulas for Closed Hypersurfaces in Euclidean Space
On submanifolds in spaces of constant and constant holomorphic curvatures
Almost Complex Submanifolds of the Six Sphere
Metric properties of one parametric systems of linear $k$-dimensional spaces in the Euclidean space $E_n$
On hypersurfaces with constant $k$-th mean curvature
Affine Differential Geometry of Closed Hypersurfaces^†
Zur projektiven Kinematik der Hüllflächen gewisser Hyperquadrikscharen.
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Monoparametric systems of projective spaces
MINIMAL IMMERSIONS OF SPHERES INTO SPHERES
On singularities of surfaces in 𝐸⁴
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Minimal Surfaces in S m with Gauss Curvature ≦0
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Submanifolds of Euclidean Space with Parallel Second Fundamental Form
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Submanifolds and a Pinching Problem on the Second Fundamental Tensors
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AN EXTENSION OF A RESULT OF BANG-YEN CHEN
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Rigidity for elliptic isometric imbeddings
On Tight Isometric Immersion of Codimension Two
Relative Chern-Lashof theorems
Congruence of hypersurfaces
On compact minimal surfaces with non-negative Gaussian curvature in a space of constant curvature. I
Surfaces minimales du type de Riemann de E$^4$ et groupes de transformations
Variational properties of functions of the mean curvatures for hypersurfaces in space forms
Codazzi-Tensoren und Kennzeichnungen sphärischer Immersionen
Hypersurfaces of $S^{2n+1} (k)$ in $E^{2n+2}$
Isometric immersions of manifolds with plane geodesics into Euclidean space
A pinching problem on the second fundamental tensors and submanifolds of a sphere
Surfaces of constant mean curvature in manifolds of constant curvature
Isotropic immersions
Local imbedding of Einstein spaces
Certain properties of submanifolds in a Riemannian manifold of constant curvature admitting a conformal Killing vector
Sur les hypersurfaces minimales dans un espace elliptique à quatre et à cinq dimensions
Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht- Beispiele
G-total curvature of immersed manifolds
Differential geometry of $S^n \times S^n$
On certain hypersurfaces in a real space form
On the isometry of compact submanifolds in Euclidean space
Sur une transformation hyperspatiale du problème des surfaces à coubures totale et moyenne linéairement liees, et sur quelques questions connexes
Über eine Art von Krümmungsinvarianten beliebiger Untermannigfaltigkeiten des $n$-dimensionalen euklidischen Raums
Global properties of minimal surfaces in $E^ 3$ and $E^ n$
Local theory of affine hypersurfaces
Umbilics of constant curvature immersions
The fundamental theorems of the theory of surfaces in an afffine space with metric
Der Satz von Gauß-Bonnet für Abbildungen in $E^ N$ und damit verwandte Probleme
Konjugierte Systeme und Kegelschattengrenzen auf Hyperflächen im projektiven $n$-dimensionalen Raum
Minimal immersions of Riemannian manifolds
On the curvatures of a piece of hypersurface in Euclidean space
Imbeddings of homogeneous spaces with minimum total curvature
Über einander ein- und umbeschriebene Laplace-Ketten in mehrdimensionalen projektiven Räumen
Stationäre Krümmungsdichten auf Hperflächen des euklidischen $R_{n+1}$
Zur affinen Differentialgeometrie im Großen. I
Über Grenzübergänge in der Differentialgeometrie
Zur projektiven Kinematik konjugierter Systeme des $n$-dimensionalen Raumes
Certain hypersurfaces of an odd dimensional sphere
Parallel and central transformations of Riemannian manifolds
Das Einspannungsproblem 2-dimensionaler Flächen im 5-dimensionalen affinen Raum
Zur Relativgeometrie: Symmetrische Zusammenhänge auf Hyperflächen
Remarks on closed minimal submanifolds in the standard Riemannian m- sphere
On parallel hypersurfaces of an elliptic hypersurface of the second order in $E^{n+1}$
Minimal immersions of surfaces in Euclidean spheres
Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie
Complete minimal surfaces in Euclidean $n$-spaces
On hypersurfaces satisfying a certain condition on the curvature tensor
Isometric immersions with semi-definite second quadratic forms
The holonomy algebra of immersed manifolds of codimension two
Principal curvature forms
Some estimates for almost umbilical surfaces
Non-parametric hypersurfaces with bounded curvatures
2-families of lines in $P_ 5$ and pairs of congruent lines in $P_ 3$
Vector forms and integral formulas for hypersurfaces in Euclidean space
Minimal varieties in Riemannian manifolds
The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature
Remarks on Almgren's interior regularity theorems
Compact orientable submanifold of codemension 2 in an odd dimensional sphere
On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere
Submanifolds of spheres
Reducibility of Euclidean immersions of low codimension
Probleme der lokalen und globalen mehrdimensionalen Differentialgeometrie
Hypersurfaces satisfying a certain condition on the Ricci tensor
Homogeneous hypersurfaces in spaces of constant curvature
Théoreme de Peeling et hypersurfaces isotropes
Submanifolds with a regular principal normal vector field in a sphere
Extension of locally defined minimal immersions into spheres
Positively curved n-manifolds in $R^{n+2}$
Minimal total absolute curvature for immersions
A formula of Simons' type and hypersurfaces with constant mean curvature
Representations of compact groups and minimal immersions into spheres
Some hypersurfaces of a sphere
Rigidity and convexity of hypersurfaces in spheres
Some remarks on minimal submanifolds
Sur les variétés minimales $V^ 2$ de E. Cartan dans un elliptique à $n$ dimensions
The torsion form of submanifolds in $E^ N$
Riemannsche Mannigfaltigkeiten konstanter positiver Krümmung in euklidischen Räumen der Kodimension 2
On the intrinsic geometry of $S^n \times S^n$
Isometric immersions of Riemannian products
Homogeneous hypersurfaces in a sphere with the type number 2
On submanifolds of submanifolds of a Riemannian manifold
On tight immersions of maximal codimension
Some results for an orientable 5-dimensional submanifold of $R^ 7$
Minimal immersions of spheres into spheres
An isometric immersion of a homogeneous Riemannian manifold of dimension 3 in the hyperbolic space
Minimal submanifolds of low cohomogeneity
Reduction of the codimension of an isometric immersion
Hypersurfaces of odd-dimensional spheres
Hypersurfaces with parallel Ricci tensor
Isometric immersions into spaces of constant curvature
Submanifolds with parallel mean curvature vector
Imbedding of pseudo-Riemannian manifolds in a pseudo-Euclidean space
Minimal submanifolds with M-index 2 in Riemannian manifolds of constant curvature
Minimal submanifolds with m-index 2 and generalized Veronese surfaces
Minimal submanifolds with M-index 2
A characterization of $n$-spheres in space forms and its complex analogue
On $(f,g,u,v,\lambda )$-structures induced on a hypersurface of an odddimensional sphere
Riemannian manifolds of constant curvature and the growth function of submanifolds
Isometric immersions of space forms in space forms
On isometric immersions between hyperbolic spaces
On some hypersurfaces satisfying R(X,Y)$\cdot R_1$ = 0
Subscalar pairs of metrics and hypersurfaces with a nondegenerate second fundamental form
More on Tight Isometric Immersions of Codimension Two
The Gauss Map in Spaces of Constant Curvature
On hypersurfaces with constant scalar curvature in a Riemannian manifold of constant curvature
Notes on hypersurfaces of an odd-dimensional sphere
Surfaces with a parallel isoperimetric section
Scalar Curvature, Inequality and Submanifold
Submanifolds satisfying the condition $K(X,\,Y)\cdot K=0$
Compact hypersurfaces in an odd dimensional sphere
On minimal immersions of $S^2$ in $S^{2m}$
Minimal surfaces in a Riemannian manifold of constant curvature
Minimale Untermannigfaltigkeiten von Sphären
On hypersurfaces which are close to spheres
On an Integral Formula for Closed Hypersurfaces of the Sphere
Surfaces with Maximal Lipschitz-Killing Curvature in the Direction of Mean Curvature Vector
Isometric Embedding of a Compact Riemannian Manifold into Euclidean Space
An Invariant of Conformal Mappings
Submanifolds umbilical with respect to a non-parallel normal subbundle
Local estimates for the gradient of non‐parametric surfaces of prescribed mean curvature
Isometric Immersions which Preserve Curvature Operators
Isometric immersions of constant curvature manifolds
On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof
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