Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy

Abstract

We show that pseudo-Riemannian almost quaternionic homogeneous spaces with index 4 and an H-irreducible isotropy group are locally isometric to a pseudo-Riemannian quaternionic Kähler symmetric space if the dimension is at least 16. In dimension 12 we give a non-symmetric example.

8 pages, 1 table, no figures

References in corpus (1)

• Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy