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.

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.

DOI

10.1016/j.geomphys.2013.08.016

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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.

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Mathematics Commons

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