Ricci almost solitons and contact geometry
Author:
- 11 September 2019
- journal article
- research article
- Published by Walter de Gruyter GmbH in Advances in Geometry
- Vol. 21 (2) , 169-178
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.Keywords
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