Markovic, Vladimir (2017) Harmonic maps and the Schoen conjecture. Journal of the American Mathematical Society, 30 (3). pp. 799-817. ISSN 0894-0347. https://resolver.caltech.edu/CaltechAUTHORS:20170505-094324508
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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.
| Item Type: | Article | |||||||||
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| 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. | |||||||||
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| Issue or Number: | 3 | |||||||||
| Classification Code: | 2010 Mathematics Subject Classification: Primary 53C43 | |||||||||
| Record Number: | CaltechAUTHORS:20170505-094324508 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170505-094324508 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 77215 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 05 May 2017 17:00 | |||||||||
| Last Modified: | 03 Oct 2019 17:54 |
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