Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(2): 595-606

Online first article March 29, 2022      Printed April 30, 2022

https://doi.org/10.4134/CKMS.c210064

Copyright © The Korean Mathematical Society.

$f$-biharmonic submanifolds and $f$-biharmonic integral submanifolds in locally conformal almost cosymplectic space forms

Mohd Aslam, Fatma Karaca, Aliya Naaz Siddiqui

Jamia Millia Islamia; Beykent University; Maharishi Markandeshwar Deemed to be University

Abstract

In this paper, we have studied $f$-biharmonic submanifolds in locally conformal almost cosymplectic space forms and have derived condition on second fundamental form for $f$-biharmonic submanifolds. Also, we have discussed its integral submanifolds in locally conformal almost cosymplectic space forms.

Keywords: Biharmonic maps, $f$-biharmonic submanifolds, $f$-biharmonic integral submanifolds, locally conformal almost cosymplectic space forms

MSC numbers: Primary 53C40; Secondary 53C25

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