Foliating Metric Spaces

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dc.creatorCalcaterra, Craig
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:21:51Z
dc.date.available2026-07-07T07:21:51Z
dc.descriptionUsing families of curves to generalize vector fields, the Lie bracket is defined on a metric space, M. For M complete, versions of the local and global Frobenius theorems hold, and flows are shown to commute if and only if their bracket is zero. An example is given showing separable Hilbert space (the set of square integrable functions on R) is controllable by two elementary flows.
dc.description37 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0608416
dc.identifierhttp://arxiv.org/abs/math/0608416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115449
dc.subjectMetric Geometry
dc.subjectOptimization and Control
dc.subject51F99; 93B29; 53C12
dc.titleFoliating Metric Spaces
dc.typetext

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