Geodesic
Harmonic maps and the Schoen conjecture
Markovic, Vladimir1
1Department 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 
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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