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

Authors : Mehmet Solgun

Pages : 264-270

Doi:10.33401/fujma.975200

View : 19 | Download : 11

Publication Date : 2021-12-01

Article Type : Research

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.
Keywords : Almost paracontact structure, $mathcal{D}$-homothetic deformation, Semi-Riemannian manifold