Conformally Osserman manifolds and self-duality in Riemannian geometry

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dc.creatorBlazic, Novica
dc.creatorGilkey, Peter
dc.date2005-04-25
dc.date.accessioned2026-07-07T05:19:24Z
dc.date.available2026-07-07T05:19:24Z
dc.descriptionWe study the spectral geometry of the conformal Jacobi operator on a 4-dimensional Riemannian manifold (M,g). We show that (M,g) is conformally Osserman if and only if (M,g) is self-dual or anti self-dual. Equivalently, this means that the curvature tensor of (M,g) is given by a quaternionic structure, at least pointwise.
dc.identifierhttps://arxiv.org/abs/math/0504498
dc.identifierhttp://arxiv.org/abs/math/0504498
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75005
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53B20
dc.titleConformally Osserman manifolds and self-duality in Riemannian geometry
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