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arxiv: 1707.03618 · v1 · pith:AGPT6T47new · submitted 2017-07-12 · 🧮 math.DG

Ricci solitons on Ricci pseudosymmetric (LCS)_n-manifolds

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keywords riccipseudosymmetricmanifoldssolitonconcircularmetricwhoseconditions
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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.

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