Geometry of generalized F-harmonic maps

Abstract

In this paper, we extend the denition of F-harmonic maps [1] and, we give the notion of F-biharmonic maps, which is a generalization of biharmonic maps between Riemannian manifolds [3] and ƒ-biharmonic maps [7] and we discuss some conformal properties and the stability of F-harmonic maps. Also, we give a formula to construct some examples of proper F-biharmonic maps. Our results are extensions of [1] and [7].