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Mean curvature blow up in mean curvature flow

Name: Mean curvature blow up in mean curvature flow
Creator: Cooper, Andrew A.
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 0101 mathematics, 01 natural sciences, 53C44

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2009Publisher:arXiv

Authors: Cooper, Andrew A.;

doi: 10.48550/arxiv.0902.4282

arXiv: http://arxiv.org/abs/0902.4282

Mean curvature blow up in mean curvature flow

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Abstract

This paper has been withdrawn by the author due to an error in the proof of Proposition 3.2, in particular the claim that bounded mean curvature implies uniform-in-time continuity of the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

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.

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 53C44

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