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arXiv · 1503.04437

A mean value inequality for the generalized self-expander type submanifolds and its application

Liang Cheng
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Abstract

In this paper we get a version of mean value inequality for generalized self-expander type submanifolds in Euclidean space. As the application, we prove that if mean curvature flow $M(t)$ on the self-expander in Euclidean space subconverges to an $n$-rectifiable varifold $T$ in weak sense for $t$ goes to the singular time, then $T$ must be the cone.

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Liang Cheng. 2015-03-15. A mean value inequality for the generalized self-expander type submanifolds and its application. https://arxiv.org/abs/1503.04437

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