Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.
Hypersurfaces with Constant Scalar Curvature.
Hypersurfaces with constant scalar curvature in space forms.
Ideal CR submanifolds in non-flat complex space forms
An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.
Ideal slant submanifolds in complex space forms.
Immersed spheres in symplectic 4-manifolds
We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.
Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele.
Immersions with a parallel normal field.
Immersions with Parallel Second Fundamental Form.
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.
Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds.
Infinitesimal affine deformations of submanifolds of a Riemannian manifold
Infinitesimal isometric variation of semi-Riemannian submanifolds.
Infinitesimal rigidity of Euclidean submanifolds
A submanifold of the Euclidean space is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.
Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.
Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces.
Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space
In this paper, we study closed -maximal spacelike hypersurfaces in anti-de Sitter space with two distinct principal curvatures and give some integral formulas about these hypersurfaces.
Integral formulas for compact spacelike n-submanifolds in de Sitter spaces Applications to the parallel mean curvature vector case.
Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form
Integral inequalities for maximal space-like submanifolds in the indefinite space form.