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arXiv · 1005.4382

A Characterization of the Singular Time of the Mean Curvature Flow

Andrew A Cooper
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Abstract

In this note we investigate the behaviour at finite-time singularities of the mean curvature flow of compact Riemannian submanifolds M^m_t\hookrightarrow (N^{m+n}, h). We show that they are characterized by the blow-up of a trace A = H \cdot II of the square of the second fundamental form.

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Andrew A Cooper. 2010-05-24. A Characterization of the Singular Time of the Mean Curvature Flow. https://arxiv.org/abs/1005.4382

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