On the Mean Convexity of a Space-and-Time Neighborhood of Generic Singularities Formed by Mean Curvature flow

We consider a nondegenerate case of generic singularity when the limit cylinder of the rescaled mean curvature flow is R 3 × S 1 . We obtain a detailed description of a possibly small, but fixed, neighborhood of the singularity, up to (and including) the blowup time, and find that it is mean convex...

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Veröffentlicht in:	The Journal of Geometric Analysis 2021-10, Vol.31 (10), p.9819-9890
1. Verfasser:	Gang, Zhou
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Convexity Curvature Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Singularities
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