Generalized plane wave manifolds

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dc.creatorGilkey, Peter
dc.creatorNikcevic, Stana
dc.date2005-05-12
dc.date.accessioned2026-07-07T05:19:51Z
dc.date.available2026-07-07T05:19:51Z
dc.descriptionWe show that generalized plane wave manifolds are complete, strongly geodesically convex, Osserman, Szabo, and Ivanov-Petrova. We show their holonomy groups are nilpotent and that all the local Weyl scalar invariants of these manifolds vanish. We construct isometry invariants on certain families of these manifolds which are not of Weyl type. Given k, we exhibit manifolds of this type which are k-curvature homogeneous but not locally homogeneous. We also construct a manifold which is weakly 1-curvature homogeneous but not 1-curvature homogeneous.
dc.identifierhttps://arxiv.org/abs/math/0505253
dc.identifierhttp://arxiv.org/abs/math/0505253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75172
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53B20
dc.titleGeneralized plane wave manifolds
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