RICCI-PSEUDOSYMMETRIC (LCS)n −MANIFOLDS ADMITTING ALMOST \(\eta\)−RICCI SOLITONS

Abstract

The objective of this paper is to study Ricci-pseudosymmetric (LCS)n −manifolds admitting almost \(\eta\)−Ricci solitons. We show that if a Ricci-pseudosymmetric (LCS)n −manifold admits \(\eta\)−Ricci soliton, then it is an \(\eta\)−Einstein and find the critical values. Then some characterizations are obtained and some classifications have made.