Hyper-Hermitian quaternionic Kaehler manifolds

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dc.creatorAlexandrov, Bogdan
dc.date2001-05-25
dc.date2001-10-30
dc.date.accessioned2026-07-07T04:41:51Z
dc.date.available2026-07-07T04:41:51Z
dc.descriptionWe call a quaternionic Kaehler manifold with non-zero scalar curvature, whose quaternionic structure is trivialized by a hypercomplex structure, a hyper-Hermitian quaternionic Kaehler manifold. We prove that every locally symmetric hyper-Hermitian quaternionic Kaehler manifold is locally isometric to the quaternionic projective space or to the quaternionic hyperbolic space. We describe locally the hyper-Hermitian quaternionic Kaehler manifolds with closed Lee form and show that the only complete simply connected such manifold is the quaternionic hyperbolic space.
dc.description21 pages, LATEX; several minor changes made
dc.identifierhttps://arxiv.org/abs/math/0105206
dc.identifierhttp://arxiv.org/abs/math/0105206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61529
dc.subjectDifferential Geometry
dc.subject53B35;53C26
dc.titleHyper-Hermitian quaternionic Kaehler manifolds
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