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Kyungpook Mathematical Journal 2021; 61(2): 395-408

Published online June 30, 2021

Copyright © Kyungpook Mathematical Journal.

On f-biharmonic Submanifolds of Three Dimensional Trans-Sasakian Manifolds

Avijit Sarkar* and Nirmal Biswas

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

Received: December 20, 2019; Revised: November 20, 2020; Accepted: November 23, 2020

Abstract

The object of the present paper is to study f-biharmonic submanifolds of three dimensional trans-Sasakian manifolds. We find some necessary and sufficient conditions for such submanifolds to be f-biharmonic.

Keywords: trans-Sasakian manifolds, invariant submanifolds, anti-invariant submanifolds, f-biharmonic submanifolds