Asian Journal of Mathematics and Computer Research

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.

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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

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