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Kyungpook Mathematical Journal 2023; 63(2): 313-324

Published online June 30, 2023

Copyright © Kyungpook Mathematical Journal.

Generalized Ricci Solitons on N(κ)-contact Metric Manifolds

Tarak Mandal*, Urmila Biswas and Avijit Sarkar

Department of Mathematics, University of Kalyani, Kalyani-741235, West Bengal, India
e-mail : mathtarak@gmail.com, biswasurmila50@gmail.com and avjaj@yahoo.co.in

Received: November 25, 2022; Revised: May 31, 2023; Accepted: June 1, 2023

Abstract

In the present paper, we study generalized Ricci solitons on N(κ)-contact metric manifolds, in particular, we consider when the potential vector field is the concircular vector field. We also consider generalized gradient Ricci solitons, and verify our results with an example.

Keywords: Nullity distribution, contact manifolds, N(κ)-contact metric manifolds, Ricci solitons, generalized Ricci solitons