Rigidity of Self-shrinkers Asymptotic to Cylinders

Rigidity of Self-shrinkers Asymptotic to Cylinders

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Lu Wang, Johns Hopkins University
Fine Hall 314

In this talk, we show the self-shrinkering end that are asymptotic to the shrinking cylinders in a certain sense must be isometric to the cylinders. Also, we show the asymptotic condition is optimal. Our result holds for all dimensions.