Mean curvature flow with flat normal bundles

Details Mean curvature flow with flat normal bundles Mean curvature flow with flat normal bundles

2004-10-31

arxiv.org/abs/math/0411010v1

Mathematics

Differential Geometry

19 pages, 1 figure

Scientific paper

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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