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Bibliographic Details
Main Authors: Sun, Ao, Xue, Jinxin
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2204.07896
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Table of Contents:
  • The sphere is well-known as the only generic compact shrinker for mean curvature flow (MCF). In this paper, we characterize the generic dynamics of MCFs with a spherical singularity. In terms of the level set flow formulation of MCF, we establish that generically the arrival time function of level set flow with spherical singularity has at most $C^2$ regularity.