Geodesic
Harmonic maps and the Schoen conjecture
Markovic, Vladimir1
1 Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Journal of the American Mathematical Society, Tome 30 (2017) no. 3, pp. 799-817

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/jams/881

Markovic, Vladimir 1

1 Department of Mathematics, California Institute of Technology, Pasadena, California 91125 
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Markovic, Vladimir. Harmonic maps and the Schoen conjecture. Journal of the American Mathematical Society, Tome 30 (2017) no. 3, pp. 799-817. doi: 10.1090/jams/881

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