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MiS Preprint
78/2004
Mean curvature flow with flat normal bundles
Knut Smoczyk, Guofang Wang and Yuanlong Xin
Abstract
We show that flatness of the normal bundle is preserved under the mean curvature flow in ${\bf R}^{n}$ and use this to generalize a classical result for hypersurfaces by Ecker & Huisken in the case of submanifolds with arbitrary codimension.