Min-Max theory and the Willmore conjecture

• Autores: Fernando C. Marques, André Neves
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 179, Nº 2, 2014, págs. 683-782
• Idioma: inglés
• DOI: 10.4007/annals.2014.179.2.6
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• Resumen

  • In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of a torus immersed in R 3 is at least 2p 2 . We prove this conjecture using the min-max theory of minimal surfaces