A topological property for asymptotically conical self-shrinker with small entropy

来源 :International Workshop on Conformal Geometry and Geometric P | 被引量 : 0次 | 上传用户:fengfeiyuren
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  For any asymptotically conical self-shrinker with entropy less than or equal to that of a cylinder we show that the link of the asymptotic cone must separate the unit sphere into exactly two connected components,both diffeomorphic to the self-shrinker.Combining this with recent work of Brendle,we conclude that the round sphere uniquely minimizes the entropy among all non-at two-dimensional self-shrinkers.This is joint work with Jacob Bernstein.
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