Flat nearly Kähler manifolds

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dc.creatorCortés, Vicente
dc.creatorSchäfer, Lars
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:28:44Z
dc.date.available2026-07-07T07:28:44Z
dc.descriptionWe classify flat strict nearly Kähler manifolds with (necessarily) indefinite metric. Any such manifold is locally the product of a flat pseudo-Kähler factor of maximal dimension and a strict flat nearly Kähler manifold of split signature $(2m,2m)$ with $m\ge 3$. Moreover, the geometry of the second factor is encoded in a complex three-form $ζ\in Λ^3 (\mathbb{C}^m)^*$. The first nontrivial example occurs in dimension $4m=12$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0610176
dc.identifierhttp://arxiv.org/abs/math/0610176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117844
dc.subjectDifferential Geometry
dc.subject53C50; 53C15
dc.titleFlat nearly Kähler manifolds
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