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2012 Noncollapsing in mean-convex mean curvature flow
Ben Andrews
Geom. Topol. 16(3): 1413-1418 (2012). DOI: 10.2140/gt.2012.16.1413

Abstract

We provide a direct proof of a noncollapsing estimate for compact hypersurfaces with positive mean curvature moving under the mean curvature flow: Precisely, if every point on the initial hypersurface admits an interior sphere with radius inversely proportional to the mean curvature at that point, then this remains true for all positive times in the interval of existence.

Citation

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Ben Andrews. "Noncollapsing in mean-convex mean curvature flow." Geom. Topol. 16 (3) 1413 - 1418, 2012. https://doi.org/10.2140/gt.2012.16.1413

Information

Received: 31 July 2011; Revised: 30 January 2012; Accepted: 23 May 2012; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1250.53063
MathSciNet: MR2967056
Digital Object Identifier: 10.2140/gt.2012.16.1413

Subjects:
Primary: 53C44
Secondary: 35K93 , 58J35

Keywords: Mean curvature flow , noncollapsing

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.16 • No. 3 • 2012
MSP
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