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Mean curvature flow with flat normal bundles

Knut Smoczyk·Guofang Wang·Y. L. Xin
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Abstract

We show that flatness of the normal bundle is preserved under the mean curvature flow in the Euclidean space and use this to generalize a classical result for hypersurfaces due to Ecker-Huisken in the case of submanifolds with arbitrary codimension.

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Knut Smoczyk, Guofang Wang, Y. L. Xin. 2004-10-31. Mean curvature flow with flat normal bundles. https://arxiv.org/abs/math/0411010

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