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

Details Lower volume growth estimates for Self-shrinkers of mean curvature flow Lower volume growth estimates for Self-shrinkers of mean curvature flow

2011-12-05

arxiv.org/abs/1112.0828v3

Mathematics

Differential Geometry

14 pages, we change the title of the paper, delete a theorem about Ricci soliton which has been proved by Ovidiu Munteanu and

Scientific paper

We obtain a Calabi-Yau type lower volume growth estimates 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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