Add to ORKGWe investigate the geometry and topology of submanifolds under a sharp pinching condition involving extrinsic invariants like the mean curvature and the length of the second fundamental form. Several homology vanishing results are given. Moreover, an integral bound is provided for the Bochner operator of compact Euclidean submanifolds in terms of the Betti numbers
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
In this paper, via a new Hardy type inequality, we establish some cohomology vanishing theorems for ...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature...
This new version relates the former one to results for minimal submanifoldsInternational audienceLet...
This new version relates the former one to results for minimal submanifoldsInternational audienceLet...
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in com...
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in com...
Let M be a compact embedded submanifold with parallel mean curvature vector and positive Ricci curv...
International audienceIn a previous paper, we proved a number of optimal rigidity results for Rieman...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...
In this paper, via a new Hardy type inequality, we establish some cohomology vanishing theorems for ...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature...
This new version relates the former one to results for minimal submanifoldsInternational audienceLet...
This new version relates the former one to results for minimal submanifoldsInternational audienceLet...
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in com...
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in com...
Let M be a compact embedded submanifold with parallel mean curvature vector and positive Ricci curv...
International audienceIn a previous paper, we proved a number of optimal rigidity results for Rieman...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
In this thesis the author shows that a sutured manifold is taut if and only if certain relativ L^2-B...