Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy

2017/01/16 by Cortés, Vicente, Meinke, Benedict
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.04336

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.

Related

• Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy
• Quaternionic-Kähler manifolds with nonnegative sectional curvature
• Integrability of quaternion-Kähler symmetric spaces
• Local rigidity of certain classes of almost Kahler 4-manifolds
• Representations with Sp(1)^k-reductions and quaternion-Kähler symmetric spaces