Almost Ricci-Yamabe solitons in f-Kenmotsu manifolds

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

Résumé

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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Biographie de l'auteur

Polaepalli Siva Kota Reddy, JSS Science and Technology University

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

Publiée
2025-01-21
Rubrique
Research Articles