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Pinching estimates and motion of hypersurfaces by curvature functions

Andrews, Benjamin

Description

Second derivative pinching estimates are proved for a class of parabolic equations, including motion of hypersurfaces by curvature functions such as quotients of elementary symmetric functions of curvature. The estimates imply convergence of convex hypersurfaces to spheres under these flows, improving earlier results of B. Chow and the author. The result is obtained via a detailed analysis of gradient terms in the equations satisfied by second derivatives.

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/33027
Source: Journal fur Reine und Angewandte Mathematik
DOI: 10.1515/CRELLE.2007.051

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