A study on conformal Ricci soliton on almost C(α)-manifolds admitting W2 curvature tensor

K R Vidyavathi; C S Bagewadi

doi:10.56424/jts.v14i01.10607

A study on conformal Ricci soliton on almost C(α)-manifolds admitting W2 curvature tensor

K R Vidyavathi Department of Mathematics, P. C. Jabin Science College, Vidyanagar, Hubballi-580031,Karnataka
C S Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India

DOI: https://doi.org/10.56424/jts.v14i01.10607

Keywords: almost C(α) manifolds; conformal Ricci flow; conformal Ricci soliton; η-Einstein manifold.

Abstract

We study the conformal Ricci solitons on C(α)-manifolds. It is shown that if a C(α)- manifold with a conformal Ricci soliton satisfies certain curvature conditions, then the manifold is either an Einstein manifold or η-Einstein manifold.

Published

2007-06-30

Issue

Vol 14 No 01 (2020): Journal of The Tensor Society

Section

Reveiw Article

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