Warped product Kaehler manifolds and Bochner-Kaehler metrics

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dc.creatorGanchev, Georgi
dc.creatorMihova, Vesselka
dc.date2006-05-03
dc.date.accessioned2026-07-07T09:42:28Z
dc.date.available2026-07-07T09:42:28Z
dc.descriptionUsing as an underlying manifold an alpha-Sasakian manifold we introduce warped product Kaehler manifolds. We prove that if the underlying manifold is an alpha-Sasakian space form, then the corresponding Kaehler manifold is of quasi-constant holomorphic sectional curvatures with special distribution. Conversely, we prove that any Kaehler manifold of quasi-constant holomorphic sectional curvatures with special distribution locally has the structure of a warped product Kaehler manifold whose base is an alpha-Sasakian space form. Considering the scalar distribution generated by the scalar curvature of a Kaehler manifold, we give a new approach to the local theory of Bochner-Kaehler manifolds. We study the class of Bochner-Kaehler manifolds whose scalar distribution is of special type. Taking into account that any manifold of this class locally is a warped product Kaehler manifold, we describe all warped product Bochner-Kaehler metrics. We find four families of complete metrics of this type.
dc.description28
dc.identifierhttps://arxiv.org/abs/math/0605082
dc.identifierhttp://arxiv.org/abs/math/0605082
dc.identifierJournal of Geometry and Physics, 58 (2008), 7, 803-824.
dc.identifierdoi:10.1016/j.geomphys.2008.02.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162190
dc.subjectDifferential Geometry
dc.subject53B35; 53C25
dc.titleWarped product Kaehler manifolds and Bochner-Kaehler metrics
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