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.
| Original language | English |
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| Pages (from-to) | 17-33 |
| Number of pages | 17 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 608 |
| DOIs | |
| Publication status | Published - 27 Jul 2007 |