RICCI-PSEUDOSYMMETRIC (LCS)n −MANIFOLDS ADMITTING ALMOST \(\eta\)−RICCI SOLITONS
MEHMET ATCEKEN
Department of Mathematics, University of Aksaray, 68100, Aksaray, Turkey.
TUGBA MERT *
Department of Mathematics, University of Sivas Cumhuriyet, 58140, Sivas, Turkey.
PAKIZE UYGUN
Department of Mathematics, University of Aksaray, 68100, Aksaray, Turkey.
*Author to whom correspondence should be addressed.
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.
Keywords: (LCS)n −Manifold, Ricci-pseudosymmetric Manifold, \(\eta\)−Ricci solitons, \(\eta\)−Einstein manifold