D-homothetically deformed Kenmotsu metric as a Ricci soliton
Abstract
In this paper we study the nature of Ricci solitons in D-homothetically 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.
Keywords
Ricci solitons, Kenmotsu; D-homothetic; conformal; shrinking; expanding; steady
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Department of Mathematics, Bangalore University, India India
Department of Mathematics, Bangalore University, India India
Department of Mathematics, Faculty of Mathematical and Physical sciences, M.S. Ramaiah University of Applied Sciences, India India
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