The global geometry of Riemannian manifolds with commuting curvature operators

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dc.creatorBrozos-Vazquez, M.
dc.creatorGilkey, P.
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:24:55Z
dc.date.available2026-07-07T07:24:55Z
dc.descriptionWe give manifolds in both the Riemannian and in the higher signature settings whose Riemann curvature operators commute, i.e. which satisfy R(a,b)R(c,d)=R(c,d)R(a,b) for all tangent vectors. These manifolds have global geometric phenomena which are quite different for higher signature manifolds than they are for Riemannian manifolds. Our focus is on global properties; questions of geodesic completeness and the behaviour of the exponential map are investigated.
dc.identifierhttps://arxiv.org/abs/math/0609500
dc.identifierhttp://arxiv.org/abs/math/0609500
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116554
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleThe global geometry of Riemannian manifolds with commuting curvature operators
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