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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounded harmonic maps on a class of manifolds


Authors: Chiung-Jue Sung, Luen-fai Tam and Jiaping Wang
Journal: Proc. Amer. Math. Soc. 124 (1996), 2241-2248
MSC (1991): Primary 58E20
MathSciNet review: 1307567
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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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Additional Information

Chiung-Jue Sung
Affiliation: Department of Mathematics, National Chung Cheng University, Chia-Yi, Taiwan 62117
Email: cjsung@math.ccu.edu.tw

Luen-fai Tam
Affiliation: Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
Email: lftam@math.cuhk.hk

Jiaping Wang
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
Email: jwang@math.stanford.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03246-7
PII: S 0002-9939(96)03246-7
Received by editor(s): December 16, 1994
Additional Notes: The first author was partially supported by NSC grant# 830208M194030.
The second author was partially supported by NSF grant #DMS9300422 .
Communicated by: Peter Li
Article copyright: © Copyright 1996 American Mathematical Society



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