<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we study the nature of Ricci solitons in <italic>D</italic>-homo-thetically deformed Kenmotsu manifolds. We prove that <italic>η</italic> -Einstein Kenmotsu metric as a Ricci soliton remains <italic>η</italic> -Einstein under <italic>D</italic>-homothetic deformation and the scalar curvature remains constant.</p></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.

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Department of Mathematics, Faculty of Mathematical and Physical sciences

M.S. Ramaiah University of Applied Sciences

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton"}

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...

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Published Online: Jul 18, 2019

Page range: 143 - 152

Received: Jul 21, 2017

Accepted: Aug 25, 2018

DOI: https://doi.org/10.2478/amsil-2018-0010

Keywords
Ricci solitons, Kenmotsu, -homothetic, conformal, shrinking, expanding, steady

© 2019 D.L. Kiran Kumar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Published Online: Jul 18, 2019

Page range: 143 - 152

Received: Jul 21, 2017

Accepted: Aug 25, 2018

DOI: https://doi.org/10.2478/amsil-2018-0010

KeywordsRicci solitons, Kenmotsu, -homothetic, conformal, shrinking, expanding, steady

© 2019 D.L. Kiran Kumar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Ricci solitons, Kenmotsu, -homothetic, conformal, shrinking, expanding, steady