The spectral geometry of the Riemann curvature tensor

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dc.creatorGilkey, P.
dc.creatorIvanova, R.
dc.creatorZhang, T.
dc.date2002-06-12
dc.date.accessioned2026-07-07T04:49:05Z
dc.date.available2026-07-07T04:49:05Z
dc.descriptionLet E be a natural operator associated to the curvature tensor of a pseudo-Riemannian manifold. This survey article studies when the spectrum, or more generally the real Jordan normal form, of E is constant on the natural domain of definition. It deals with results for the Jacobi operator, the higher order Jacobi operator, the Szabo operator, and the skew-symmetric curvature operator. Some results in the complex setting are presented as well for the skew-symmetric curvature operator.
dc.identifierhttps://arxiv.org/abs/math/0206129
dc.identifierhttp://arxiv.org/abs/math/0206129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64292
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53B20
dc.titleThe spectral geometry of the Riemann curvature tensor
dc.typetext

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