Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds
Differential Geometry
2017-07-13 v1
Abstract
The object of the present paper is to study some types of Ricci pseudosymmetric -manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircular Ricci pseudosymmetric, projective Ricci pseudosymmetric, -Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, conformal Ricci pseudosymmetric -manifolds to be shrinking, steady and expanding. We also construct an example of concircular Ricci pseudosymmetric -manifold whose metric is Ricci soliton.
Keywords
Cite
@article{arxiv.1707.03618,
title = {Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds},
author = {Shyamal Kumar Hui and Richard S. Lemence and Debabrata Chakraborty},
journal= {arXiv preprint arXiv:1707.03618},
year = {2017}
}
Comments
21 pages