$f$-Biminimal immersions

Authors : Fatma Gürler, Cihan Özgür

Pages : 564-575

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Publication Date : 9999-12-31

Article Type : Makaleler

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