Some results on f-harmonic maps and f-biharmonic submanifolds

Abstract

In this paper, we study the existence of f-harmonic maps into Riemannian manifolds admitting a homothetic vectorfields. Also we present some properties for the f-biharmonicity of submanifolds of $\mathbb{R}^n$, where f is a smooth positive function on $\mathbb{R}^n$.