On Hamiltonian submanifolds.
On hypersurfaces in a locally affine Riemannian Banach manifold. II.
On hypersurfaces in a locally affine Riemannian Banach manifold.
On infinitesimal deformations of submanifolds of a Riemannian manifold
On infinitesimal isometries of a hypersurface
On infinitesimal isometries of surfaces in
On Integral Formulas for Submanifolds of Spaces of Constant Curvature and Some Applications.
On invariant submanifolds in almost cosymplectic manifolds
On Isometrie Immersions between Hyperbolic Spaces.
On Laplacians of Higher Fundamental Tensors of a Submanifold in a Space of Constant Curvature.
On local isometric immersions into complex and quaternionic projective spaces
We will prove that if an open subset of is isometrically immersed into , with , then the image is totally geodesic. We will also prove that if an open subset of isometrically immersed into , with , then the image is totally geodesic.
On minimal generic submanifolds immersed in
We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
On new characterization of inextensible flows of space-like curves in de Sitter space
Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space [...] S 1 3 . Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3 .
On normal CR-submanifolds of S-manifolds
Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions for...
On normal sections of Stiefel submanifold.
On normal sections of Veronese submanifold.
On ovaloids in
On real hypersurfaces in quaternionic projective space with -recurrent second fundamental tensor.
On Real Hypersurfaces of a Complex Projective Space.
On real Kähler Euclidean submanifolds with non-negative Ricci curvature
We show that any real Kähler Euclidean submanifold with either non-negative Ricci curvature or non-negative holomorphic sectional curvature has index of relative nullity greater than or equal to . Moreover, if equality holds everywhere, then the submanifold must be a product of Euclidean hypersurfaces almost everywhere, and the splitting is global provided that is complete. In particular, we conclude that the only real Kähler submanifolds in that have either positive Ricci curvature or...