Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

Ao Sun; Zhichao Wang

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arXiv · 1811.05387

Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

Ao Sun·Zhichao Wang

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Abstract

We prove the compactness of self-shrinkers in $\mathbb R^3$ 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.

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BibTeX RIS

Ao Sun, Zhichao Wang. 2018-11-13. Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus. https://arxiv.org/abs/1811.05387

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