Surfaces Moving by Powers of Gauss Curvature

Andrews, Benjamin; Chen, Xuzhong

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Surfaces Moving by Powers of Gauss Curvature

Date

2012

Authors

Andrews, Benjamin

Chen, Xuzhong

Publisher

International Press

Abstract

We prove that strictly convex surfaces moving by Kα/2 become spherical as they contract to points, provided α lies in the range [1; 2]. In the process we provide a natural candidate for a curvature pinching quantity for surfaces moving by arbitrary func

Keywords

Keywords: Curvature estimate; Gauss curvature flow

URI

http://hdl.handle.net/1885/17764

Collections

ANU Research Publications

Source

Pure and Applied Mathematics Quarterly

Type

Journal article

Restricted until

2037-12-31

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Surfaces Moving by Powers of Gauss Curvature

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