Algebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

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dc.creatorGilkey, Peter
dc.creatorZhang, Tan
dc.date2002-05-08
dc.date.accessioned2026-07-07T04:48:20Z
dc.date.available2026-07-07T04:48:20Z
dc.descriptionWe classify the connected pseudo-Riemannian manifolds of signature $(p,q)$ with $q\ge5$ so that at each point of $M$ the skew-symmetric curvature operator has constant rank 2 and constant Jordan normal form on the set of spacelike 2 planes and so that the skew-symmetric curvature operator is not nilpotent for at least one point of $M$.
dc.identifierhttps://arxiv.org/abs/math/0205079
dc.identifierhttp://arxiv.org/abs/math/0205079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64010
dc.subjectDifferential Geometry
dc.subject53A15
dc.titleAlgebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form
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