Liouville theorems for harmonic maps

We prove several Liouville theorems for harmonic maps between certain classes of Riemannian manifolds. In particular, the results can be applied to harmonic maps from the Euclidean space ( R m , g 0 ) to a large class of Riemannian manifolds. Our assumptions on the harmonic maps concern the asymptotic behavior of the maps at ∞.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46575/1/222_2005_Article_BF02100594.pd