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Mean curvature flow with flat normal bundles

Research paper by Knut Smoczyk, Guofang Wang, Y. L. Xin

Indexed on: 31 Oct '04Published on: 31 Oct '04Published in: Mathematics - Differential Geometry



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.