Some Results on $\mathcal{D}$-Homothetic Deformation On Almost Paracontact Metric Manifolds

Abstract

In this paper, we investigate the effect of $\mathcal{D}$-homothetic deformation on almost para-contact metric manifolds. The main results of the paper are about some classes of almost paracontact metric manifolds in which the characteristic vector field is parallel. It is shown that certain classes are invariant under the $\mathcal{D}$-homothetic deformation.