A Maximum Principle for Combinatorial Yamabe Flow
| dc.creator | Glickenstein, David | |
| dc.date | 2002-11-13 | |
| dc.date | 2005-06-10 | |
| dc.date.accessioned | 2026-07-07T04:52:52Z | |
| dc.date.available | 2026-07-07T04:52:52Z | |
| dc.description | This article studies a discrete geometric structure on triangulated manifolds and an associated curvature flow (combinatorial Yamabe flow). The associated evolution of curvature appears to be like a heat equation on graphs, but it can be shown to not satisfy the maximum principle. The notion of a parabolic-like operator is introduced as an operator which satisfies the maximum principle, but may not be parabolic in the usual sense of operators on graphs. A maximum principle is derived for the curvature of combinatorial Yamabe flow under certain assumptions on the triangulation, and hence the heat operator is shown to be parabolic-like. The maximum principle then allows a characterization of the curvature as well was a proof of long term existence of the flow. | |
| dc.description | 20 pages, this is an almost entirely different paper. Some elements of the old version are in the paper arxiv:math.MG/0506182 | |
| dc.identifier | https://arxiv.org/abs/math/0211195 | |
| dc.identifier | http://arxiv.org/abs/math/0211195 | |
| dc.identifier | Topology 44 (2005) 809-825 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65629 | |
| dc.subject | Metric Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 52C26 | |
| dc.title | A Maximum Principle for Combinatorial Yamabe Flow | |
| dc.type | text |