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Bounded harmonic maps on a class of manifolds
Authors:Chiung-Jue Sung  Luen-fai Tam  Jiaping Wang
Institution:Department of Mathematics, National Chung Cheng University, Chia-Yi, Taiwan 62117 ; Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong ; Department of Mathematics, Stanford University, Stanford, California 94305
Abstract:Without imposing any curvature assumptions, we show that bounded harmonic maps with image contained in a regular geodesic ball share similar behaviour at infinity with the bounded harmonic functions on the domain manifold.

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