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Noncollapsing in mean-convex mean curvature flow

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Date

2012

Authors

Andrews, Benjamin

Journal Title

Journal ISSN

Volume Title

Publisher

University of Warwick

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.

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Keywords

Citation

URI

http://hdl.handle.net/1885/65707

Collections

Open Access Research

Source

Geometry and Topology

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.2140/gt.2012.16.1413

Restricted until

2037-12-31

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01_Andrews_Noncollapsing_in_mean-convex_2012.pdf (165.76 KB)

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