Published July 2017
| Submitted
Journal Article
Open
Harmonic maps and the Schoen conjecture
- Creators
- Markovic, Vladimir
Chicago
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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
- Eprint ID
- 77215
- Resolver ID
- CaltechAUTHORS:20170505-094324508
- Simons Foundation
- 409745
- Institute for Advanced Study
- NSF
- DMS-1201463
- Created
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2017-05-05Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field