D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Kumar D.L. Kiran; Nagaraja H.G.; Venu K.

doi:10.2478/amsil-2018-0010

Annales Mathematicae Silesianae (Sep 2019)

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Kumar D.L. Kiran,
Nagaraja H.G.,
Venu K.

Affiliations

Kumar D.L. Kiran: Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru – 560 056, India
Nagaraja H.G.: Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bengaluru – 560 056, India
Venu K.: Department of Mathematics, Faculty of Mathematical and Physical sciences, M.S. Ramaiah University of Applied Sciences, Peenya industrial area, Peenya, Bengaluru-560058, India

DOI: https://doi.org/10.2478/amsil-2018-0010
Journal volume & issue: Vol. 33, no. 1
pp. 143 – 152

Abstract

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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.

Published in Annales Mathematicae Silesianae

ISSN: 2391-4238 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMSIL

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