Article
Kyungpook Mathematical Journal 2021; 61(4): 813-822
Published online December 31, 2021
Copyright © Kyungpook Mathematical Journal.
Ricci-Yamabe Solitons and Gradient Ricci-Yamabe Solitons on Kenmotsu 3-manifolds
Arpan Sardar and Avijit Sarkar*
Department of Mathematics, University of Kalyani, Kalyani 741235, West Bengal, India
e-mail : arpansardar51@gmail.com and avjaj@yahoo.co.in
Received: February 14, 2021; Revised: April 24, 2021; Accepted: June 14, 2021
The aim of this paper is to characterize a Kenmotsu 3-manifold whose metric is either a Ricci-Yamabe soliton or gradient Ricci-Yamabe soliton. Finally, we verify the obtained results by an example.
Keywords: Ricci-Yamabe soliton, Gradient Yamabe soliton, Kenmotsu manifolds, η-paralle Ricci tensor, scalar curvature