Homogeneous almost quaternion-Hermitian manifolds

Andrei Moroianu, Mihaela Pilca, Uwe Semmelmann

An almost quaternion-Hermitian structure on a Riemannian manifold $(M^{4n},g)$ is a reduction of the structure group of $M$ to $\mathrm{Sp}(n)\mathrm{Sp}(1)\subset \mathrm{SO}(4n)$…