ɸ-Holomorphic sectional curvature and generalized Sasakian space forms for a class of Kenmotsu type

Abstract EN

In this paper, we constructed an example for a warped product of the Hermitian manifold and real line for a class of Kenmotsu type.

On the associated G-structure space, the conditions required for the mentioned class to be of constant pointwise Φ-holomorphic sectional curvature tensor are obtained.

New classes of almost contact metric manifolds introduced and their relationships with our class are found.

We studied the generalized Sasakian-space-forms and the conditions that satisfied our class, new classes and Einstein manifold are investigated.