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Liouville theorems for harmonic maps
Authors:Zhiren Jin
Institution:(1) Institute for Advanced Study, 08540 Princeton, NJ, USA;(2) Present address: Department of Mathematics, University of Michigan, 48109 Ann Arbor, Michigan, USA
Abstract:Summary 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 infin.Oblatum 28-XII-1990 & 11-II-1991Supported by NSF grant DMS-8610730
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