Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1508-23
Keywords
$f$-Biminimal immersion, $f$-biminimal curve, $f$-biminimal surface, Legendre curve
First Page
564
Last Page
575
Recommended Citation
GÜRLER, F, & ÖZGÜR, C (2017). $f$-Biminimal immersions. Turkish Journal of Mathematics 41 (3): 564-575. https://doi.org/10.3906/mat-1508-23