Published March 2018
| Published + Submitted
Journal Article
Open
Heat flows on hyperbolic spaces
- Creators
- Lemm, Marius
- Markovic, Vladimir
Abstract
In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere S^(n−1), n ≥ 3, can be extended to the n-dimensional hyperbolic space such that the heat flow starting with this extension converges to a quasi-isometric harmonic map. This implies the Schoen-Li-Wang conjecture that every quasiconformal map of S^(n−1), n ≥ 3, can be extended to a harmonic quasi-isometry of the n-dimensional hyperbolic space.
Additional Information
© 2018 International Press. Received November 14, 2015. Vladimir Markovic is supported by the NSF grant number DMS-1500951.Attached Files
Published - euclid.jdg.1519959624.pdf
Submitted - 1506.04345.pdf
Files
1506.04345.pdf
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Additional details
- Eprint ID
- 77246
- Resolver ID
- CaltechAUTHORS:20170508-064511268
- DMS-1500951
- NSF
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field