Published March 2015
| Submitted
Journal Article
Open
Harmonic maps between 3-dimensional hyperbolic spaces
- Creators
- Markovic, Vladimir
Abstract
We prove that a quasiconformal map of the sphere S^2 admits a harmonic quasi-isometric extension to the hyperbolic space H^3, thus confirming the well known Schoen Conjecture in dimension 3.
Additional Information
© 2014 Springer-Verlag Berlin Heidelberg. Received: 7 August 2013; Accepted: 29 June 2014; Published online: 15 July 2014. Vladimir Markovic is supported by the NSF grant number DMS-1201463. I am grateful to the referee for his/her comments and suggestions. Most of this project was carried out while the author was visiting University of Minnesota in Minneapolis as the Ordway Visiting Professor. I wish to thank them for their hospitality.Attached Files
Submitted - 1308.1710v2.pdf
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Additional details
- Eprint ID
- 56723
- Resolver ID
- CaltechAUTHORS:20150416-105100093
- DMS-1201463
- NSF
- Created
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2015-04-16Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field