A note on non-univalent harmonic maps between surfaces
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- by Tom Y. H. Wan PDF
- Proc. Amer. Math. Soc. 129 (2001), 567-572 Request permission
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.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 567-572
- MSC (2000): Primary 58E20
- DOI: https://doi.org/10.1090/S0002-9939-00-06048-2
- MathSciNet review: 1800239