A Characterization of the Singular Time of the Mean Curvature Flow

Details A Characterization of the Singular Time of the Mean Curvature Flow A Characterization of the Singular Time of the Mean Curvature Flow

2010-05-24

arxiv.org/abs/1005.4382v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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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