YAMABE SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH CONFORMAL KILLING VECTOR FIELD

Abstract

The objective of the present paper is to estimate the Yamabe solitons on a para-Kenmotsu manifolds when the Weyl-conformal curvature tensor and projective curvature satisfies some geometric properties with conformal Killing vector filed, like flatness, semi-symmetry, pseudo-symmetry, Riccipseudo-symmetry and Einstein semi-symmetry. Finally, we illustrate an example of para-Kenmotsu manifolds admitting a expanding Yamabe soliton.