MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
CONFORMAL CURVATURE TENSOR ON PARACONTACT METRIC MANIFOLDS
Venkatesha, D.M. Naik, H.A. Kumara

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..

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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