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arXiv · 2112.06158

Counting ends on shrinkers

Jia-Yong Wu
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Abstract

In this paper we apply a geometric covering method to study the number of ends on shrinkers. On one hand, we prove that the number of ends on any complete non-compact shrinker is at most polynomial growth with fixed degree. On the other hand, we prove that any complete non-compact shrinker with certain volume comparison condition has finitely many ends. Some special cases of shrinkers are also discussed.

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Jia-Yong Wu. 2021-12-12. Counting ends on shrinkers. https://arxiv.org/abs/2112.06158

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