Ricci almost solitons with associated projective vector field

Author:

Sharma Ramesh1,Deshmukh Sharief2

Affiliation:

1. University of New Haven , West Haven , , USA

2. King Saud University , Riyadh - , Saudi Arabia

Abstract

Abstract A Ricci almost soliton whose associated vector field is projective is shown to have vanishing Cotton tensor, divergence-free Bach tensor and Ricci tensor as conformal Killing. For the compact case, a sharp inequality is obtained in terms of scalar curvature.We show that every complete gradient Ricci soliton is isometric to the Riemannian product of a Euclidean space and an Einstein space. A complete K-contact Ricci almost soliton whose associated vector field is projective is compact Einstein and Sasakian.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ricci–Bourguignon Solitons on Sequential Warped Product Manifolds;Zurnal matematiceskoj fiziki, analiza, geometrii;2024-03-25

2. Characterization of the potential function of a Ricci soliton;Proceedings - Mathematical Sciences;2023-03-29

3. m-quasi Einstein manifolds with subharmonic potential;Filomat;2023

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