Abstract

In this paper, we consider paracontact metric manifolds satisfying certain flatness conditions on the conformal curvature tensor. Specifically, we study $\xi$-conformally flat $K$-paracontact manifolds and $\varphi$-conformally flat $K$-paracontact and paraSasakian manifolds. Also we discuss $\varphi$-conformally flat compact regular $K$-paracontact manifolds. Finally, we study conformally flat paracontact metric manifolds..

Keywords: Conformal curvature tensor; paracontact metric manifold; $K$-paracontact manifold; paraSasakian manifold; regular $K$-paracontact manifold.

MSC: 53C15, 53C25, 53D10

Pages:  215$-$225     

Volume  72 ,  Issue  3 ,  2020