Calibrations and the size of Grassmann faces.
Centrally-symmetric tight surfaces and graph embeddings.
Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost...
Classification de feuilletages totalement géodésiques de codimension un.
Closed hypersurfaces of with two constant symmetric curvatures
Closed surfaces in four-spaces with non-vanishing normal curvature
Codazzi structures induced by minimal affine immersions
We give a necessary and sufficient condition for a Codazzi structure to be realized as a minimal affine hypersurface or a minimal centroaffine immersion of codimension two.
Compact Dupin Hypersurfaces with Three Principal Curvatures.
Compact Hypersurfaces with a Constant Higher Mean Curvature Function.
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor.
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
A new class of -dimensional Lorentz spaces of index is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.
Comparison principles for hypersurfaces of prescribed mean curvature.
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space
A Lorentz surface of an indefinite space form is called a parallel surface if its second fundamental form is parallel with respect to the Van der Waerden-Bortolotti connection. Such surfaces are locally invariant under the reflection with respect to the normal space at each point. Parallel surfaces are important in geometry as well as in general relativity since extrinsic invariants of such surfaces do not change from point to point. Recently, parallel Lorentz surfaces in 4D neutral pseudo Euclidean...
Complete Hypersurfaces in the Space Form with Three Principal Curvatures.
Complete hypersurfaces with constant scalar curvature in a hyperbolic space.
Complete Maximal spacelike hypersurfaces of H ...
Complete minimal hypersurfaces in a locally symmetric space.
Complete minimal hypersurfaces in hyperbolic n-manifolds.
Complete Minimal Spheres and Projective Planes in Rn with Simple Ends.
Complete minimal surfaces of arbitrary genus in a slab of
In this paper we construct complete minimal surfaces of arbitrary genus in with one, two, three and four ends respectively. Furthermore the surfaces lie between two parallel planes of .