On recurrent spaces of first order
On Ricci curvature of -totally real submanifolds in Sasakian space forms.
On Ricci -recurrent -manifolds.
On Riemann and Weyl Compatible Tensors
On Riemannian geometry of tangent sphere bundles with arbitrary constant radius
We shall survey our work on Riemannian geometry of tangent sphere bundles with arbitrary constant radius done since the year 2000.
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
On Riemannian manifolds whose tangent sphere bundles can have nonnegative sectional curvature.
On sectional curvatures of -Sasakian manifolds.
On semi-invariant submanifolds of -cosymplectic manifolds.
On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
We investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products.
On some Akivis - Goldberg Type Metrics
On some Akivis-Goldberg type metrics.
On some class of hypersurfaces with three distinct principal curvatures
We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.
On some class of nearly conformally symmetric manifolds
On some compact almost Kähler locally symmetric space.
On some C-totally real submanifolds in a space with Sasakian 3-structure
On some generalized Einstein metric conditions.
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 some pseudo-symmetric Riemann spaces.
On some Ricci-flat metrics of cohomogeneity two on complex line bundles.