期刊
ANNALS OF MATHEMATICS
卷 179, 期 2, 页码 683-782出版社
Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2014.179.2.6
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资金
- CNPq-Brazil
- FAPERJ
- Math-Amsud
- Stanford Department of Mathematics
- Marie Curie IRG Grant
- ERC Start Grant
- EPSRC [EP/K00865X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K00865X/1] Funding Source: researchfish
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 2 pi(2). We prove this conjecture using the min-max theory of minimal surfaces.
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