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Turkish Journal of Mathematics

DOI

10.3906/mat-1508-23

Abstract

In the present paper, we define $f$-biminimal immersions. We consider $f$-biminimal curves in a Riemannian manifold and $f$-biminimal submanifolds of codimension $1$ in a Riemannian manifold, and we give examples of $f$-biminimal surfaces. Finally, we consider $f$-biminimal Legendre curves in Sasakian space forms and give an example.

Keywords

$f$-Biminimal immersion, $f$-biminimal curve, $f$-biminimal surface, Legendre curve

First Page

564

Last Page

575

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Mathematics Commons

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