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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Open Access
|Jul 2019

Abstract

In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains constant.

DOI: https://doi.org/10.2478/amsil-2018-0010 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 143 - 152
Submitted on: Jul 21, 2017
Accepted on: Aug 25, 2018
Published on: Jul 18, 2019
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2019 D.L. Kiran Kumar, H.G. Nagaraja, K. Venu, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.