Pinching estimates and motion of hypersurfaces by curvature functions

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dc.creatorAndrews, Ben
dc.date2004-02-19
dc.date.accessioned2026-07-07T05:05:35Z
dc.date.available2026-07-07T05:05:35Z
dc.descriptionSecond derivative pinching estimates are proved for a class of elliptic and 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0402311
dc.identifierhttp://arxiv.org/abs/math/0402311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70218
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44 (Primary); 35B50, 35K55 (Secondary)
dc.titlePinching estimates and motion of hypersurfaces by curvature functions
dc.typetext

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