Jordan Szabo algebraic covariant derivative curvature tensors

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dc.creatorGilkey, Peter B.
dc.creatorIvanova, Raina
dc.creatorStavrov, Iva
dc.date2002-11-05
dc.date.accessioned2026-07-07T04:52:41Z
dc.date.available2026-07-07T04:52:41Z
dc.descriptionWe show that if $\nabla R$ is a Jordan Szabo algebraic covariant derivative curvature tensor on a vector space of signature (p,q), where q is odd and p is less than q or if q is congruent to 2 mod 4 and if p is less than q-1, then $\nabla R=0$. This algebraic result yields an elementary proof of the geometrical fact that any pointwise totally isotropic pseudo-Riemannian manifold with such a signature (p,q) is locally symmetric.
dc.identifierhttps://arxiv.org/abs/math/0211089
dc.identifierhttp://arxiv.org/abs/math/0211089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65555
dc.subjectDifferential Geometry
dc.subject53B20
dc.titleJordan Szabo algebraic covariant derivative curvature tensors
dc.typetext

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