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

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

Author

K.R.Vidyavathi and C.S. Bagewadi

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.

2010 Mathematics Subject Classification: 53C25, 53C44, 53D15
Keywords: almost C(α) manifolds; conformal Ricci flow; conformal Ricci soliton; η-Einstein manifold.

Received April 24, 2021
Accepted June 29, 2021
Published August 16, 2021

cited by : Journal of The Tensor Society (J.T.S.)  Vol. 14 (2020), page 40 – 48.

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