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arxiv: math/0411010 · v1 · submitted 2004-10-31 · 🧮 math.DG · math.AP

Mean curvature flow with flat normal bundles

classification 🧮 math.DG math.AP
keywords curvatureflowmeannormalarbitrarybundlebundlescase
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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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