期刊
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
卷 608, 期 -, 页码 17-33出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/CRELLE.2007.051
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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.
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