On related vector fields of capillary surfaces.
On Ricci curvature of totally real submanifolds in a quaternion projective space
Let be a Riemannian -manifold. Denote by and the Ricci tensor and the maximum Ricci curvature on , respectively. In this paper we prove that every totally real submanifolds of a quaternion projective space satisfies , where and are the square mean curvature function and metric tensor on , respectively. The equality holds identically if and only if either is totally geodesic submanifold or and is totally umbilical submanifold. Also we show that if a Lagrangian submanifold of...
On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection
On semi-invariant submanifolds of -cosymplectic manifolds.
On six-dimensional -submanifolds of Cayley algebra
On slant submanifolds of -contact metric manifolds
On some condition for a submanifold of Euclidean space to be a sphere
On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms
Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.
On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.
On submanifolds and quotients of Poisson and Jacobi manifolds
We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.
On submanifolds of codimension 2 immersed in a Hsu--quarternion manifold.
On surfaces with constant mean curvature
On Symmetrie Submanifolds of Spaces of Constant Curvature.
On the Chen character of –ideal submanifolds
On the Chern-type problem in a complex projective space.
On the Chern-type problem in Kähler geometry.
On the classification of totally umbilical CR-submanifolds of a Kähler manifold.
On the completeness of flat surfaces in
On the Components of the Push-out Space with Certain Indices
On the cut locus and the focal locus of a submanifold in a Riemannian manifold. II.