Homogeneous almost quaternion-hermitian manifolds

Zusammenfassung

An almost quaternion-Hermitian structure on a Riemannian manifold (M4n; g) is a reduction of the structure group of M to Sp(n)Sp(1) � SO(4n). In this paper we show that a compact simply connected homogeneous almost quaternion-Hermitian manifold of
non-vanishing Euler characteristic is either a Wolf space, or S2 � S2, or the complex quadric SO(7)=U(3).