期刊
ANNALS OF MATHEMATICS
卷 183, 期 2, 页码 715-728出版社
Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2016.183.2.6
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- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1201924] Funding Source: National Science Foundation
We confirm a well-known conjecture that the round sphere is the only compact, embedded self-similar shrinking solution of mean curvature flow in R-3 with genus 0. More generally, we show that the only properly embedded self-similar shrinkers in R-3 with vanishing intersection form are the sphere, the cylinder, and the plane. This answers two questions posed by T. Ilmanen.
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