Ricci almost solitons and contact geometry-Reference-Cited by-同舟云学术

Ricci almost solitons and contact geometry

Published:2019-09-11 Issue:2 Volume:21 Page:169-178
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Ghosh Amalendu¹

Affiliation:

1. Department of Mathematics, Chandernagore College , Chandannagar , Hooghly: 712 136, West Bengal , India

Abstract

Abstract We prove that on a K-contact manifold, a Ricci almost soliton is a Ricci soliton if and only if the potential vector field V is a Jacobi field along the Reeb vector field ξ. Then we study contact metric as a Ricci almost soliton with parallel Ricci tensor. To this end, we consider Ricci almost solitons whose potential vector field is a contact vector field and prove some rigidity results.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2019-0026/pdf

Reference28 articles.

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