RICCI SOLITONS ON Α-PARA KENMOTSU MANIFOLDS WITH SEMI SYMMETRIC METRIC CONNECTION

Abstract

In this paper we introduce notion of Ricci solitons in -para Kenmotsu manifold with semi -symmetric metric connection. We have found the relations between curvature tensor, Ricci tensors and scalar curvature of -para Kenmotsu manifold with semi-symmetic metric connection.We have proved that 3-dimensional -para Kenmotsu manifold with semi -symmetric metric connection is an -Einstein manifold and the Ricci soliton defined on this manifold is named expanding and steady with respect to the value of constant.It is proved that Conharmonically flat -para Kenmotsu manifold with semi-symmetric metric connection is -Einstein manifold.