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Заседание научного семинара кафедры 18 декабря 2019г.

Заседание научного семинара кафедры 18 декабря 2019г.

Заседание научного семинара кафедры 18 декабря 2019г.
23.12.2019
Abstract. In this work we consider generalized Kenmotsu manifolds, we introduce:
1) the fourth and the fifth fundamental identities of generalized Kenmotsu manifolds;
2) the first and the second structural tensors of generalized Kenmotsu manifolds (and we prove their properties);
3) the concept of adjoint Q-algebra for generalized Kenmotsu manifolds.

We prove that generalized Kenmotsu manifolds and the 2nd kind special generalized Kenmotsu manifolds have anticommutative adjoint Q-algebra.
And the Kenmotsu manifolds and the 1st kind special generalized Kenmotsu manifolds have Abelian adjoint Q-algebra.
The type constancy contact analog is introduced and the constant-type generalized Kenmotsu manifolds are thoroughly examined.
We have identified the type point constancy conditions of the generalized Kenmotsu manifolds in the adjoint G-structure space.
We prove that the zero constant type GK-manifold class coincides with the Kenmotsu manifold class and the non-zero constant type
GK-manifold class can be concircularly transformed into the almost contact metric manifolds locally equivalent to the product of
the six dimensional NK-eigenmanifold and the real straight line.