Curvature homogeneous signature (2,2) manifolds

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dc.creatorDunn, C.
dc.creatorGilkey, P.
dc.creatorNikcevic, S.
dc.date2004-08-23
dc.date.accessioned2026-07-07T05:11:29Z
dc.date.available2026-07-07T05:11:29Z
dc.descriptionWe exhibit a family of generalized plane wave manifolds of signature (2,2). The geodesics in these manifolds extend for infinite time (i.e. they are complete), they are spacelike and timelike Jordan Osserman, and they are spacelike and timelike Jordan Ivanov-Petrova. Some are irreducible symmetric spaces. Some are homogeneous spaces but not symmetric. Some are 1-curvature homogeneous but not homogeneous. All are 0-modeled on the same irreducible symmetric space. We determine the Killing vector fields for these manifolds.
dc.identifierhttps://arxiv.org/abs/math/0408316
dc.identifierhttp://arxiv.org/abs/math/0408316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72259
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53B20
dc.titleCurvature homogeneous signature (2,2) manifolds
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