V. F. Kirichenko

Bio: V. F. Kirichenko is an academic researcher from Moscow State Pedagogical University. The author has contributed to research in topics: Riemann curvature tensor & Ricci-flat manifold. The author has an hindex of 2, co-authored 3 publications receiving 11 citations.

On geometry of weakly cosymplectic manifolds

Abstract: We consider classes of weakly cosymplectic manifolds whose Riemannian curvature tensors satisfy contact analogs of the Riemannian–Christoffel identities. Additional properties of the Riemannian curvature tensor symmetry are found and a classification of weakly cosymplectic manifolds is obtained.

On the geometry of conharmonic curvature tensor for nearly Kähler manifolds

Abstract: We study additional symmetry properties for the harmonic curvature tensor of a nearly Kahler manifold. An exhaustive description for conharmonically para-Kahlerian, nearly Kahlerian manifolds, and conharmonically flat, nearly Kahlerian manifolds is obtained.

Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra

Abstract: It is proved that cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the octave algebra are ruled manifolds. A necessary and sufficient condition for a cosymplectic hypersurface of a Hermitian submanifold M 6 ⊂ O to be a minimal submanifold of M 6 is established. It is also proved that a six-dimensional Hermitian submanifold M 6 ⊂ O satisfying the g -cosymplectic hypersurfaces axiom is a Kahlerian manifold.

On Almost Contact Metric Hypersurfaces of Nearly Kählerian 6-Sphere

Abstract: It is proved that if the type number of an oriented hypersurface of the nearly Kahlerian six-dimensional sphere

Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

Abstract: In the nearly cosymplectic manifold, dened a tensor of type (4,0), it's called a projective curvature tensor. In this article we discuss an interesting question; what the geometric meaning of this tensor when it's act on nearly cosymplectic manifold? The answer of this question leads to get an application on Einstein space. In particular, the necessary and sucient conditions that a projective tensor is vanishes are found.

The Almost Contact Metric Hypersurfaces with Small Type Numbers in W 4 -manifolds

Abstract: It is proved that the almost contact metric structures on a hypersurface with type number 1 and on a hypersurface with type number 0 are identical in a W4-manifold.