Bounded harmonic maps on a class of manifolds

Sung, Chiung-Jue; Tam, Luen-fai; Wang, Jiaping

doi:10.1090/S0002-9939-96-03246-7

Bounded harmonic maps on a class of manifolds
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by Chiung-Jue Sung, Luen-fai Tam and Jiaping Wang PDF

Proc. Amer. Math. Soc. 124 (1996), 2241-2248 Request permission

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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