Almost rigidity of convex hypersurfaces via the extinction time of mean curvature flow
Bull. Korean Math. Soc.
Published online June 3, 2021
Xian-tao Huang
Sun Yat-sen University
Abstract : We prove that if a compact convex hypersurface of Rn+1 has almost maximal extinction time when it is evolved by the mean curvature flow, then it must be nearly round in the C0-norm.
Keywords : convex hypersurface, mean curvature flow, almost rigidity
MSC numbers : 53C44
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