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.
Characterization of Finsler Spaces of Scalar Curvature
A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
Moving frames and the characterization of curves that lie on a surface
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