ON GENERALIZED f-HARMONIC MAPS AND LIOUVILLE TYPE THEOREM

Authors : Mustapha DJAA, Ahmed Mohamed CHERIF

Pages : 33-44

View : 19 | Download : 17

Publication Date : 2016-04-01

Article Type : Research Paper

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 C1insert ignore into journalissuearticles values(IRm  N); is a smooth positive function which satis es some suitable conditions.
Keywords : f harmonic maps, f conformal maps, Liouville Theorem