Mean curvature flow with flat normal bundles
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0411010,
title = {Mean curvature flow with flat normal bundles},
author = {Knut Smoczyk and Guofang Wang and Y. L. Xin},
journal= {arXiv preprint arXiv:math/0411010},
year = {2007}
}
Comments
19 pages, 1 figure