Volume-preserving flow by powers of the m-th mean curvature

Simple item page
dc.creatorCabezas-Rivas, Esther
dc.creatorSinestrari, Carlo
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:40:56Z
dc.date.available2026-07-07T12:40:56Z
dc.descriptionWe consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the m-th mean curvature plus a volume preserving term, including the case of powers of the mean curvature or of the Gauss curvature. We prove that if the initial hypersurface satisfies a suitable pinching condition, the solution exists for all times and converges to a round sphere.
dc.identifierhttps://arxiv.org/abs/0902.2090
dc.identifierhttp://arxiv.org/abs/0902.2090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219601
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44
dc.titleVolume-preserving flow by powers of the m-th mean curvature
dc.typetext

Files

Collections

arXiv