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arXiv · 1909.06601

Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End

Siao-Hao Guo
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Abstract

If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover, the expander that gives rise to the limiting flow is asymptotically stable as an equilibrium solution of the normalized mean curvature flow.

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Siao-Hao Guo. 2019-09-14. Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End. https://arxiv.org/abs/1909.06601

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