Pinching estimates and motion of hypersurfaces by curvature functions
Pinching estimates and motion of hypersurfaces by curvature functions
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 …