Harmonic maps and the Schoen conjecture

Markovic, Vladimir

doi:10.1090/jams/881

Harmonic maps and the Schoen conjecture
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by Vladimir Markovic

J. Amer. Math. Soc. 30 (2017), 799-817

DOI: https://doi.org/10.1090/jams/881

Published electronically: March 1, 2017

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Abstract:

We show that every quasisymmetric homeomorphism of the circle $\partial {\mathbb {H}^2}$ admits a harmonic quasiconformal extension to the hyperbolic plane $\mathbb {H}^2$. This proves the Schoen conjecture.

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