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 simultaneous integrability of two commuting almost tangent structures
On six-dimensional -submanifolds of Cayley algebra
On skew 2-projectable almost complex structures on
We deal with a -tensor field on the tangent bundle preserving vertical vectors and such that is a -tensor field on , where is the canonical almost tangent structure on . A connection on is constructed by . It is shown that if is a -almost complex structure on without torsion then is a unique linear symmetric connection such that and .
On slant submanifolds of -contact metric manifolds
On Solvable Generalized Calabi-Yau Manifolds
We give an example of a compact 6-dimensional non-Kähler symplectic manifold that satisfies the Hard Lefschetz Condition. Moreover, it is showed that is a special generalized Calabi-Yau manifold.
On solvmanifolds and a conjecture of Benson and Gordon from the Hamiltonian viewpoint.
On Some 2-Dimensional Hermitian Manifolds.
On Some 4-Dimensional Compact Einstein Almost Kähler Manifolds.
On some Akivis - Goldberg Type Metrics
On some Akivis-Goldberg type metrics.
On some applications of Bochner-Schoenberg-Eberlein type theorems
On some causal and conformal groups.
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 class of pseudosymmetric warped products
We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
On some compact almost Kähler locally symmetric space.
On some condition for a submanifold of Euclidean space to be a sphere
On some C-totally real submanifolds in a space with Sasakian 3-structure