Min-Max theory and the Willmore conjecture

被引：291
作者：
Marques, Fernando C. [1 ]
Neves, Andre [2 ]
机构：
[1] IMPA, Rio De Janeiro, Brazil
[2] Univ London Imperial Coll Sci Technol & Med, London, England
来源：
ANNALS OF MATHEMATICS | 2014年 / 179卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
MINIMAL-SURFACES; MEAN-CURVATURE; TORI; REGULARITY; INVARIANT;
D O I：
10.4007/annals.2014.179.2.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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收藏
页码：683 / 782
页数：100
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