Abstract We prove the compactness of self-shrinkers in R 3 with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounded by the entropy and genus.

中文翻译：

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具有固定属的 R3 中自收缩器的紧致性

摘要 我们证明了具有有界熵和固定属的 R 3 中自收缩器的紧致性。作为推论，我们证明了这些表面的末端数量受熵和属的均匀限制。