Author URLs
Document Type
Article
Publication Date
1-2014
Subject: LCSH
Geometry, Contact manifolds, Solitons
Disciplines
Mathematics
Abstract
We prove the following results: (i) a Sasakian metric as a non-trivial Ricci soliton is null η-Einstein, and expanding. Such a characterization permits us to identify the Sasakian metric on the Heisenberg group H2n+1 as an explicit example of (non-trivial) Ricci soliton of such type. (ii) If an η-Einstein contact metric manifold M has a vector field V leaving the structure tensor and the scalar curvature invariant, then either V is an infinitesimal automorphism, or M is D-homothetically fixed K-contact.
DOI
10.1016/j.geomphys.2013.08.016
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Repository Citation
Sharma, Ramesh and Ghosh, Amalendu, "Sasakian Metric as a Ricci Soliton and Related Results" (2014). Mathematics Faculty Publications. 5.
https://digitalcommons.newhaven.edu/mathematics-facpubs/5
Publisher Citation
Sharma, R., and Ghosh, A. (2014).Sasakian metric as a Ricci Soliton and related results. Journal of Geometry and Physics 75, 1-6.
Comments
This is the peer reviewed version of the following article: Sharma, R., and Ghosh, A. (2014).Sasakian metric as a Ricci Soliton and related results. Journal of Geometry and Physics 75, 1-6., which has been published in final form at http://dx.doi.org/10.1016/j.geomphys.2013.08.016 . This article may be used for non-commercial purposes in accordance with the CC/BY/NC/ND license.