Mean curvature flow with flat normal bundles

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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.
19 pages, 1 figure

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Differential Geometry, Analysis of PDEs, 53C44

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http://salesiana.dossiersoluciones.com/handle/123456789/73056

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411010
 http://arxiv.org/abs/math/0411010

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arXiv