Lower volume growth estimates for self-shrinkers of mean curvature flow

Li, Haizhong; Wei, Yong

doi:10.1090/S0002-9939-2014-12037-5

Lower volume growth estimates for self-shrinkers of mean curvature flow
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Proc. Amer. Math. Soc. 142 (2014), 3237-3248 Request permission

Abstract:

We obtain a Calabi-Yau type volume growth estimate for complete noncompact self-shrinkers of the mean curvature flow. More precisely, every complete noncompact properly immersed self-shrinker has at least linear volume growth.

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