Mean curvature flow with flat normal bundles

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.

19 pages, 1 figure

Cited by in corpus (2)

• On 2-surfaces in R^4 and R^n
• Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature