Ricci solitons on Ricci pseudosymmetric $(LCS{)}_n$-manifolds

Abstract

The object of the present paper is to study some types of Ricci pseudosymmetric $(LCS{)}_n$-manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircular Ricci pseudosymmetric, projective Ricci pseudosymmetric, $W_3$-Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, conformal Ricci pseudosymmetric $(LCS{)}_n$-manifolds to be shrinking, steady and expanding. We also construct an example of concircular Ricci pseudosymmetric $(LCS{)}_3$-manifold whose metric is Ricci soliton.

21 pages

References in corpus (2)

• Majorization: Here, There and Everywhere
• Ricci solitons in contact metric manifolds