Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces. (Q1608961)

The authors classify semi-Riemannian submersions from a pseudo-hyperbolic space onto a Riemannian manifold under the assumption that the fibres are connected and totally geodesic. The index of the metric is kept unrestricted. They present a large list of examples, and then they are able to prove a theorem, which says that this list is, in a well-defined sense, a complete one.