Published July 2017
| Version Submitted
Journal Article
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Harmonic maps and the Schoen conjecture
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Abstract
We show that every quasisymmetric homeomorphism of the circle ∂H^2 admits a harmonic quasiconformal extension to the hyperbolic plane H^2. This proves the Schoen conjecture.
Additional Information
© 2017 American Mathematical Society. Received by the editors March 11, 2015 and, in revised form, July 22, 2016. Published electronically: March 1, 2017. The author was partially supported by the Simons Investigator Award 409745 from the Simons Foundation, by the "Fund for Basic Research" from the Institute for Advanced Study, and by the NSF grant number DMS-1201463.Attached Files
Submitted - M-schoen.pdf
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M-schoen.pdf
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Additional details
Identifiers
- Eprint ID
- 77215
- Resolver ID
- CaltechAUTHORS:20170505-094324508
Funding
- Simons Foundation
- 409745
- Institute for Advanced Study
- NSF
- DMS-1201463
Dates
- Created
-
2017-05-05Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field