Four dimensional conformal C-spaces

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dc.creatorGover, A. Rod
dc.creatorNagy, Paul-Andi
dc.date2007-01-18
dc.date.accessioned2026-07-07T09:42:43Z
dc.date.available2026-07-07T09:42:43Z
dc.descriptionWe investigate the structure of conformal $C$-spaces,a class of Riemmanian manifolds which naturally arises as aconformal generalisation of the Einstein condition. A basic question is when such a structure is closed, or equivalently locally conformally Cotton. In dimension 4 we obtain a full answer to this question and also investigate the incidence of the Bach condition on this class of metrics. This is related to earlier results obtained in the Einstein-Weyl context.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0701512
dc.identifierhttp://arxiv.org/abs/math/0701512
dc.identifierQ. J. Math. 58 (2007), no. 4, 443--462.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162287
dc.subjectDifferential Geometry
dc.subject53A30, 53C24, 53C55
dc.titleFour dimensional conformal C-spaces
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