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arXiv · 1707.03618

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

Shyamal Kumar Hui·Richard S. Lemence·Debabrata Chakraborty
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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.

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Shyamal Kumar Hui, Richard S. Lemence, Debabrata Chakraborty. 2017-07-12. Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds. https://arxiv.org/abs/1707.03618

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