Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding. Moreover, the soliton is trivial (Einstein) if either...

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Bibliographic Details

Published in:	Karpatsʹkì Matematičnì Publìkacìï
Main Author:	A. Ghosh
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2019-06-01
Subjects:	kenmotsu manifold ricci almost soliton warped product
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/1509