Author URLs
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.
DOI
10.1007/s13366-017-0367-1
Repository Citation
Sharma, Ramesh, "Some Results on Almost Ricci Solitons and Geodesic Vector Fields." (2017). Mathematics Faculty Publications. 14.
https://digitalcommons.newhaven.edu/mathematics-facpubs/14
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
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.