f-Biminimal immersions

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.