The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The gap theorems for some extremal submanifolds in a unit sphere
Let be an -dimensional submanifold in the unit sphere , we call a -extremal submanifold if it is a critical point of the functional . In this paper, we can study gap phenomenon for these submanifolds.
The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
The hyperbolic n-space as a graph in euclidean (6n-6)-space.
The Nonexistence of Certain Topological Polygons.
The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere.
The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.
The Schläfli formula in Einstein manifolds with boundary.
The semiring of immersions of manifolds.
The type number of the cosymplectic hypersurfaces of 6-dimensional Hermitian submanifolds of the Cayley algebra.
The volume conjecture and four-dimensional hypersurfaces
The volume preserving mean curvature flow.
Théorème de Gauß-Bonnet et géométrie non commutative
Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra.
Tight lagrangian submanifolds in CPn.
Tight Topological Embeddings of the Real Projective Plane in E5.
Time-like isothermic surfaces associated to Grassmannian systems.
Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
In this paper we study the topological and metric rigidity of hypersurfaces in , the -dimensional hyperbolic space of sectional curvature . We find conditions to ensure a complete connected oriented hypersurface in to be diffeomorphic to a Euclidean sphere. We also give sufficient conditions for a complete connected oriented closed hypersurface with constant norm of the second fundamental form to be totally umbilic.
Torsion von Minimalflächen.
Total Absolute Curvature of Submanifolds in Compact Symmetric Spaces of Rank One.