caa a22 4500 463248139 CHVBK 20180405153332.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10455-007-9068-6 doi (NATIONALLICENCE)springer-10.1007/s10455-007-9068-6 Flat nearly Kähler manifolds [Elektronische Daten] [Vicente Cortés, Lars Schäfer] 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 $$\zeta \in \Lambda^3 (\mathbb{C}^m)^*$$ . The first nontrivial example occurs in dimension 4m=12. Springer Science + Business Media B.V., 2007 Nearly Kähler manifolds nationallicence Flat almost pseudo-Hermitian manifolds nationallicence Pseudo-Riemannian manifolds nationallicence Almost complex structures nationallicence Cortés Vicente Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut Schäfer Lars Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut Annals of Global Analysis and Geometry Springer Netherlands 32/4(2007-11-01), 379-389 0232-704X 32:4<379 2007 32 10455 https://doi.org/10.1007/s10455-007-9068-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-007-9068-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cortés Vicente Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut NATIONALLICENCE 700 1- Schäfer Lars Department Mathematik, Universität Hamburg, Bundesstraße 55, 20146, Hamburg, Germany aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Springer Netherlands 32/4(2007-11-01), 379-389 0232-704X 32:4<379 2007 32 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer