Almost Ricci-Yamabe solitons in  f-Kenmotsu manifolds

G. S.  Shivaprasanna; R. Rajendra; P. Siva Kota Reddy; G.  Somashekhara; M. Pavithra

doi:10.5269/bspm.69758

G. S. Shivaprasanna Dr. Ambedkar Institute of Technology
R. Rajendra Mangalore University
P. Siva Kota Reddy JSS Science and Technology University http://orcid.org/0000-0003-4033-8148
G. Somashekhara M. S. Ramaiah University of Applied Sciences
M. Pavithra Karnataka State Open University

Abstract

The purpose of this paper is to charecterize f -Kenmotsu manifolds admitting almost Ricci-Yamabe soliton and gradient Ricci-Yamabe soliton. We deduce the ncessary condition for the potential function u is constant. Further, a relation between λ and the potential function u has been established. Finally, a sufficient condition is proved for a Ricci-Yamabe soliton to be a gradient Ricci-Yamabe soliton and a characterization of the soliton in terms of shrinking, steady or expanding has been done.

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Author Biography

P. Siva Kota Reddy, JSS Science and Technology University

Professor, Departmnet of Mathematics, JSS Science and Technology, Mysuru-570 006, India

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