Geodesic
Pseudo-Riemannian Almost Hypercomplex Homogeneous Spaces with Irreducible Isotropy
Vicente Cortés1 ; Benedict Meinke2
1Department of Mathematics, University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
2Department of Mathematics, University of Düsseldorf, Universitätsstrasse 1, 40225 Düsseldorf, Germany
Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 982-993

Voir la notice de l'article provenant de la source Heldermann Verlag

We classify homogeneous pseudo-Riemannian manifolds of index 4 which admit an invariant almost hyper-Hermitian structure and an H-irreducible isotropy group. The main result is that all these spaces are hyper-Kähler and flat except in dimension 12.
Classification : 53C26, 53C30, 53C35, 53C50
Mots-clés : Homogeneous spaces, symmetric spaces, almost hypercomplex structures, pseudo-Riemannian manifolds

Vicente Cortés  1   ; Benedict Meinke  2

1 Department of Mathematics, University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
2 Department of Mathematics, University of Düsseldorf, Universitätsstrasse 1, 40225 Düsseldorf, Germany 
Vicente Cortés; Benedict Meinke. Pseudo-Riemannian Almost Hypercomplex Homogeneous Spaces with Irreducible Isotropy. Journal of Lie Theory, Tome 27 (2017) no. 4, pp. 982-993. http://geodesic.mathdoc.fr/item/JOLT_2017_27_4_a4/
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     author = {Vicente Cort\'es and Benedict Meinke},
     title = {Pseudo-Riemannian {Almost} {Hypercomplex} {Homogeneous} {Spaces} with {Irreducible} {Isotropy}},
     journal = {Journal of Lie Theory},
     pages = {982--993},
     year = {2017},
     volume = {27},
     number = {4},
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