Mean curvature blow up in mean curvature flow

Abstract

In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.

This paper has been withdrawn by the author due to an error in the proof of Proposition 3.2, in particular the claim that bounded mean curvature implies uniform-in-time continuity of the metric

Cited by in corpus (2)

• The extension problem of the mean curvature flow (I)
• Critical behavior of collapsing surfaces