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 | References | Similar Articles | Additional Information

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

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