arXiv:1001.4490 [math.DG]AbstractReferencesReviewsResources
Classification of Pseudo-Riemannian submersions with totally geodesic fibres from pseudo-hyperbolic spaces
Published 2010-01-25, updated 2013-09-06Version 3
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.
Comments: 24 pages, final published version. This preprint version is slightly different from the published version
Journal: Proceedings of the London Mathematical Society 105 (2012), no 6, 1315-1338
DOI: 10.1112/plms/pds027
Categories: math.DG
Subjects: 53C50
Keywords: classification, pseudo-riemannian manifold, complex pseudo-hyperbolic space, complex connected totally geodesic fibres, real pseudo-hyperbolic space
Tags: journal article
Related articles: Most relevant | Search more
arXiv:0704.0210 [math.DG] (Published 2007-04-02)
Classification of superpotentials
arXiv:1110.4297 [math.DG] (Published 2011-10-19)
On the classification of the almost contact metric manifolds
On the classification of warped product Einstein metrics