When is a Connection a Levi-Civita Connection?

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dc.creatorAtkins, Richard
dc.date2008-04-16
dc.date.accessioned2026-07-07T09:33:08Z
dc.date.available2026-07-07T09:33:08Z
dc.descriptionWe consider the more general question as to when a connection is a metric connection. There are two aspects to this investigation: first, the determination of the integrability conditions that ensure the existence of a local parallel metric in the neighbourhood of a given point and second, the characterization of the topological obstruction to a globally defined parallel metric.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0804.2698
dc.identifierhttp://arxiv.org/abs/0804.2698
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159026
dc.subjectDifferential Geometry
dc.titleWhen is a Connection a Levi-Civita Connection?
dc.typetext

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