Author
Lemm, M
Markovic, V
Journal title
Journal of Differential Geometry
DOI
10.4310/jdg/1519959624
Issue
3
Volume
108
Last updated
2023-12-19T16:49:43.643+00:00
Page
495-529
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 Sn−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 Sn−1, n ≥ 3, can be extended to a harmonic quasi-isometry of the n-dimensional hyperbolic space.
Symplectic ID
1109985
Favourite
Off
Publication type
Journal Article
Publication date
02 Mar 2018
Please contact us with feedback and comments about this page. Created on 07 Jun 2020 - 15:31.