Peer-Reviewed journal indexed by Mathematical Reviews and Zentralblatt MATH.

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

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.