Width and flow of hypersurfaces by curvature functions

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dc.creatorCalle, Maria
dc.creatorKleene, Stephen J.
dc.creatorKramer, Joel
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:37:36Z
dc.date.available2026-07-07T09:37:36Z
dc.descriptionWe give a bound on the extinction time for a compact, strictly convex hypersurface in R^{n+1} evolving by a geometric flow where the velocity is given in terms of the curvature. This result generalizes a theorem of Colding and Minicozzi for mean curvature flow solutions to a wider class of flows studied by Ben Andrews. In the proof, we use the concept of the width of a hypersurface, introduced by Colding and Minicozzi. We also extend the result to 2-convex hypersurfaces, using the 2-width.
dc.identifierhttps://arxiv.org/abs/0805.1023
dc.identifierhttp://arxiv.org/abs/0805.1023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160516
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleWidth and flow of hypersurfaces by curvature functions
dc.typetext

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