Flat nearly Kähler manifolds

Link:

https://doi.org/10.1007/s10455-007-9068-6

Autor/in:

Erscheinungsjahr:

2007

Medientyp:

Text

Schlagworte:

Almost complex structures
Flat almost pseudo-Hermitian manifolds
Nearly Kähler manifolds
Pseudo-Riemannian manifolds

Beschreibung:

We 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 ≥ 3. Moreover, the geometry of the second factor is encoded in a complex three-form ζ ∈ Λ3 (ℂm)*. The first nontrivial example occurs in dimension 4m = 12. © 2007 Springer Science + Business Media B.V.

Lizenz:

info:eu-repo/semantics/restrictedAccess

Quellsystem:

Forschungsinformationssystem der UHH

Interne Metadaten

Quelldatensatz: oai:www.edit.fis.uni-hamburg.de:publications/d3c26beb-04b8-47ae-ab9d-a59e37b8c970