Document Type

Article

Publication Date

2017

Subject: LCSH

Geometry

Disciplines

Mathematics

Abstract

We show that a compact almost Ricci soliton whose soliton vector field is divergence-free is Einstein and its soliton vector field is Killing. Next we show that an almost Ricci soliton reduces to Ricci soliton if and only if the associated vector field is geodesic. Finally, we prove that a contact metric manifold is K-contact if and only if its Reeb vector field is geodesic.

Comments

This is the author's accepted manuscript of an article published in Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry. The version of record can be found at http://dx.doi.org/10.1007/s13366-017-0367-1.

DOI

10.1007/s13366-017-0367-1

Publisher Citation

Sharma, R. (2017). Some results on almost Ricci solitons and geodesic vector fields. Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 1-6. doi:10.1007/s13366-017-0367-1

Available for download on Thursday, November 22, 2018

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