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Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces. (English) Zbl 1036.53046

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.

MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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References:

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