Nearly Kaehler geometry and Riemannian foliations

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dc.creatorNagy, Paul-Andi
dc.date2002-03-05
dc.date.accessioned2026-07-07T04:46:50Z
dc.date.available2026-07-07T04:46:50Z
dc.descriptionWe consider strict and complete nearly Kaehler manifolds with the canonical Hermitian connection. The holonomy representation of the canonical Hermitian connection is studied. We show that a strict and complete nearly Kaehler is locally a Riemannian product of homogenous nearly Kaehler spaces, twistor spaces over quaternionic Kaehler manifolds and 6-dimensional nearly Kaehler manifolds. As an application we obtain structure results for totally geodesic Riemannian foliations admitting a compatible Kaehler structure. Finally, we obtain a classification result for the homogenous case, reducing a conjecture of Wolf and Gray to its 6-dimensional form.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0203038
dc.identifierhttp://arxiv.org/abs/math/0203038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63491
dc.subjectDifferential Geometry
dc.subject53C12, 53C24, 53C28, 53C29
dc.titleNearly Kaehler geometry and Riemannian foliations
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