Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature $(4,4)$
arXiv:1003.2573 · doi:10.1016/j.geomphys.2010.08.006
Abstract
Possible holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature $(4,4)$ are classified. Using this, a new proof of the classification of simply connected pseudo-quaternionic-Kählerian symmetric spaces of signature $(4,4)$ is obtained.
16 pages