A combinatorial Yamabe flow in three dimensions

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dc.creatorGlickenstein, David
dc.date2005-06-10
dc.date.accessioned2026-07-07T05:20:39Z
dc.date.available2026-07-07T05:20:39Z
dc.descriptionA combinatorial version of Yamabe flow is presented based on Euclidean triangulations coming from sphere packings. The evolution of curvature is then derived and shown to satisfy a heat equation. The Laplacian in the heat equation is shown to be a geometric analogue of the Laplacian of Riemannian geometry, although the maximum principle need not hold. It is then shown that if the flow is nonsingular, the flow converges to a constant curvature metric.
dc.description20 pages, 5 figures. The paper arxiv:math.MG/0211195 was absorbed into its new version and this paper
dc.identifierhttps://arxiv.org/abs/math/0506182
dc.identifierhttp://arxiv.org/abs/math/0506182
dc.identifierTopology 44 (2005) 791-808
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75452
dc.subjectMetric Geometry
dc.subjectGeometric Topology
dc.subject52C26
dc.titleA combinatorial Yamabe flow in three dimensions
dc.typetext

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