ON GENERALIZED f-HARMONIC MAPS AND LIOUVILLE TYPE THEOREM

Abstract

In this paper, we prove that every semi-conformal harmonic map between Riemannian manifolds is a generalized f-harmonic map. We also prove a Liouville type theorem for f-harmonic maps in general sense from IRm onto a Riemannian manifold N with non-positive sectional curvature, where f 2 C1(IRm  N) is a smooth positive function which satis es some suitable conditions.

Keywords

• f-harmonic maps; f-conformal maps; Liouville Theorem.

References

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