Pinching estimates and motion of hypersurfaces by curvature functions

Date

2007

Authors

Andrews, Benjamin

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Volume Title

Publisher

Walter de Gruyter

Abstract

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.

Description

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Citation

Source

Journal fur Reine und Angewandte Mathematik

Type

Journal article

Book Title

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Access Statement

License Rights

DOI

10.1515/CRELLE.2007.051

Restricted until

2037-12-31