Geodesic
Min-Max theory and the Willmore conjecture
Fernando C. Marques1 ; André Neves2
1 IMPA, Rio de Janeiro, Brazil
2 Imperial College London, South Kensington Campus, London, UK
Annals of mathematics, Tome 179 (2014) no. 2, pp. 683-782.

Voir la notice de l'article provenant de la source Annals of Mathematics website

In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of a torus immersed in $\mathbb{R}^3$ is at least $2\pi^2$. We prove this conjecture using the min-max theory of minimal surfaces.
DOI : 10.4007/annals.2014.179.2.6

Fernando C. Marques 1 ; André Neves 2

1 IMPA, Rio de Janeiro, Brazil
2 Imperial College London, South Kensington Campus, London, UK 
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Fernando C. Marques; André Neves. Min-Max theory and  the Willmore conjecture. Annals of mathematics, Tome 179 (2014) no. 2, pp. 683-782. doi : 10.4007/annals.2014.179.2.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.179.2.6/

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