Metric Coordinate Systems

Simple item page
dc.creatorCalcaterra, Craig
dc.creatorBoldt, Axel
dc.creatorGreen, Michael
dc.creatorBleecker, David
dc.date2002-06-24
dc.date.accessioned2026-07-07T04:49:20Z
dc.date.available2026-07-07T04:49:20Z
dc.descriptionCoordinate systems are defined on general metric spaces with the purpose of generalizing vector fields on a manifold. Conversion formulae are available between metric and Cartesian coordinates on a Hilbert space. Nagumo's Invariance Theorem is invoked to prove the analogue of the classical Cauchy-Lipschitz Theorem for vector fields on a locally compact coordinatized space. A metric space version of Nagumo's Theorem is one consequence. Examples are given throughout.
dc.description31 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0206253
dc.identifierhttp://arxiv.org/abs/math/0206253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64383
dc.subjectDynamical Systems
dc.subjectMetric Geometry
dc.subject37C10, 34G99 (Primary) 54E45 (Secondary)
dc.titleMetric Coordinate Systems
dc.typetext

Files

Collections

arXiv