Biharmonic hypersurfaces with recurrent operators in the Euclidean space

Esmaiel Abedi; Najma Mosadegh

doi:10.4134/BKMS.b210910

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2022; 59(6): 1595-1603

Online first article July 13, 2022 Printed November 30, 2022

https://doi.org/10.4134/BKMS.b210910

Biharmonic hypersurfaces with recurrent operators in the Euclidean space

Esmaiel Abedi, Najma Mosadegh

Department of Mathematics; Department of Mathematics

Abstract

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Abstract

We show how some of well-known recurrent operators such as recurrent curvature operator, recurrent Ricci operator, recurrent Jacobi operator, recurrent shape and Weyl operators have the significant role for biharmonic hypersurfaces to be minimal in the Euclidean space.

Keywords: Biharmonic hypersurfaces, recurrent operators

MSC numbers: Primary 53D12, 53C40