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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

D.L. Kiran Kumar

D.L. Kiran Kumar

Department of Mathematics, Bangalore UniversityBengaluru, India
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Kumar, D.L. Kiran
, 
H.G. Nagaraja

H.G. Nagaraja

Department of Mathematics, Bangalore UniversityBengaluru, India
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Nagaraja, H.G.
 and 
K. Venu

K. Venu

Department of Mathematics, Faculty of Mathematical and Physical sciences, M.S. Ramaiah University of Applied SciencesBengaluru, India
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Venu, K.
  
Jul 18, 2019
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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
© 2019 D.L. Kiran Kumar et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

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English
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Journal Subjects:
Mathematics, General Mathematics
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