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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
78/2004

Mean curvature flow with flat normal bundles

Knut Smoczyk, Guofang Wang and Yuanlong Xin

Abstract

We show that flatness of the normal bundle is preserved under the mean curvature flow in ${\bf R}^{n}$ and use this to generalize a classical result for hypersurfaces by Ecker & Huisken in the case of submanifolds with arbitrary codimension.

Received:
Nov 3, 2004
Published:
Nov 3, 2004
MSC Codes:
53C44
Keywords:
mean curvature flow

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Preprint
2004 Repository Open Access
Knut Smoczyk, Guofang Wang and Yuan-Long Xin

Mean curvature flow with flat normal bundles