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

 

A note on non-univalent harmonic maps between surfaces


Author: Tom Y. H. Wan
Journal: Proc. Amer. Math. Soc. 129 (2001), 567-572
MSC (2000): Primary 58E20
Published electronically: October 10, 2000
MathSciNet review: 1800239
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Abstract:

We show that a decomposition theorem of Duren-Hengartner about planar harmonic maps can be generalized to give a necessary and sufficient condition for a harmonic map between smooth surfaces to be decomposable as a holomorphic map followed by a univalent harmonic embedding.


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Additional Information

Tom Y. H. Wan
Affiliation: Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Email: tomwan@math.cuhk.edu.hk

DOI: http://dx.doi.org/10.1090/S0002-9939-00-06048-2
PII: S 0002-9939(00)06048-2
Received by editor(s): May 22, 1997
Published electronically: October 10, 2000
Additional Notes: This research is partially supported by the Earmarked Grant Hong Kong and JSPS fellowship.
Communicated by: Peter Li
Article copyright: © Copyright 2000 American Mathematical Society