Curvature-homogeneous indefinite Einstein metrics in dimension four: the diagonalizable case

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dc.creatorDerdzinski, Andrzej
dc.date2002-11-16
dc.date.accessioned2026-07-07T06:29:51Z
dc.date.available2026-07-07T06:29:51Z
dc.descriptionWe classify those curvature-homogeneous Einstein four-manifolds, of all metric signatures, which have a complex-diagonalizable curvature operator. They all turn out to be locally homogeneous. More precisely, any such manifold must be either locally symmetric or locally isometric to a suitable Lie group with a left-invariant metric. To show this we explicitly determine the possible local-isometry types of manifolds that have the properties named above, but are not locally symmetric.
dc.descriptionAMS-TeX 2.1, 18 pages, no figures, submitted to an AMS volume of Proceedings in Contemporary Mathematics
dc.identifierhttps://arxiv.org/abs/math/0211248
dc.identifierhttp://arxiv.org/abs/math/0211248
dc.identifierContemporary Mathematics, vol. 337, American Mathematical Society, Providence, RI, 2003, pp. 21-38
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98182
dc.subjectDifferential Geometry
dc.subject53B30
dc.titleCurvature-homogeneous indefinite Einstein metrics in dimension four: the diagonalizable case
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