Connexions with totally skew-symmetric torsion and nearly-Kaehler geometry

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dc.creatorNagy, Paul-Andi
dc.date2007-09-08
dc.date.accessioned2026-07-07T08:28:25Z
dc.date.available2026-07-07T08:28:25Z
dc.descriptionWe study almost Hermitian structures admitting a Hermitian connexion with totally skew-symmetric torsion or equivalently, those almost Hermitian structures with totally skew-symmetric Nijenhuis tensor. We investigate up to what extent the Nijenhuis tensor fails to be parallel with respect to the characteristic connexion. This is naturally described by means of an extension of the notion of Killing form to almost Hermitian geometry. In this context, we also make an essentially self-contained survey of nearly-Kaehler geometry, but from the perspective of non-integrable holonomy systems.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/0709.1231
dc.identifierhttp://arxiv.org/abs/0709.1231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137611
dc.subjectDifferential Geometry
dc.subject53C12, 53C24, 53C55
dc.titleConnexions with totally skew-symmetric torsion and nearly-Kaehler geometry
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