The geometry of conformally Einstein metrics with degenerate Weyl tensor

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dc.creatorAlt, Jesse
dc.date2006-08-24
dc.date.accessioned2026-07-07T07:22:07Z
dc.date.available2026-07-07T07:22:07Z
dc.descriptionThe problem of characterizing conformally Einstein manifolds by tensorial conditions has been tackled recently in papers by M. Listing, and in work by A. R. Gover and P. Nurowski. Their results apply to metrics satisfying a "non-degeneracy" condition on the Weyl tensor \W. We investigate the geometry of the foliations arising on conformally Einstein spaces (with Riemannian signature) where this condition fails, which then allows us to characterize a general class of locally conformally Einstein Riemannian manifolds with degenerate Weyl tensor.
dc.description24 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0608598
dc.identifierhttp://arxiv.org/abs/math/0608598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115542
dc.subjectDifferential Geometry
dc.subject53Bxx
dc.titleThe geometry of conformally Einstein metrics with degenerate Weyl tensor
dc.typetext

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