On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds

Abstract

In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds. The new Levi-Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and beta-Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed.