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- Title
On Quasi-conformal Harmonic Maps Between Surfaces.
- Authors
Kalaj, David
- Abstract
The following theorem is proved: If w is a quasi-conformal harmonic mapping between two Riemann surfaces with compact and smooth boundaries and approximate analytic metrics, then w is bi-Lipschitz continuous with respect to internal metrics. If the surfaces are subsets of the Euclidean spaces, then w is bi-Lipschitz with respect to the Euclidean metrics.
- Subjects
EUCLIDEAN domains; LIPSCHITZ spaces; EUCLIDEAN metric; RIEMANN surfaces; CONTINUOUS functions; HARMONIC maps
- Publication
IMRN: International Mathematics Research Notices, 2015, Vol 2015, Issue 2, p355
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnt203