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arxiv: 1001.4490 · v3 · pith:5FDFQRH5new · submitted 2010-01-25 · 🧮 math.DG

Classification of Pseudo-Riemannian submersions with totally geodesic fibres from pseudo-hyperbolic spaces

classification 🧮 math.DG
keywords pseudo-riemannianfibresgeodesicpseudo-hyperbolicsubmersionstotallyclassificationcomplex
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We classify pseudo-Riemannian submersions with connected totally geodesic fibres from a real pseudo-hyperbolic space onto a pseudo-Riemannian manifold. Also, we obtain the classification of the pseudo-Riemannian submersions with (para-)complex connected totally geodesic fibres from a (para-)complex pseudo-hyperbolic space onto a pseudo-Riemannian manifold.

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