Projective connections associated with second order ODEs

dc.creatorNewman, Ezra T
dc.creatorNurowski, Pawel
dc.date2003-02-05
dc.date.accessioned2026-07-07T03:27:37Z
dc.date.available2026-07-07T03:27:37Z
dc.descriptionWe show that every 2nd order ODE defines a 4-parameter family of projective connections on its 2-dimensional solution space. In a special case of ODEs, for which a certain point transformation invariant vanishes, we find that this family of connections always has a preferred representative. This preferred representative turns out to be identical to the projective connection described in Cartan's classic paper "Sur les Varietes a Connection Projective".
dc.identifierhttps://arxiv.org/abs/gr-qc/0302016
dc.identifierhttp://arxiv.org/abs/gr-qc/0302016
dc.identifierClass.Quant.Grav. 20 (2003) 2325-2336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34499
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleProjective connections associated with second order ODEs
dc.typetext

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