
We get obstructions to existence of semi-Riemannian submersions with totally umbilic fibres.
19 pages
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential Geometry (math.DG), semi-Riemannian submersions, totally umbilic submanifolds, 53C50, FOS: Mathematics
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential Geometry (math.DG), semi-Riemannian submersions, totally umbilic submanifolds, 53C50, FOS: Mathematics
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