{ "id": "1001.4490", "version": "v3", "published": "2010-01-25T17:22:23.000Z", "updated": "2013-09-06T00:25:06.000Z", "title": "Classification of Pseudo-Riemannian submersions with totally geodesic fibres from pseudo-hyperbolic spaces", "authors": [ "Gabriel Baditoiu" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v3", "updated": "2013-09-06T00:25:06.000Z" } ], "analyses": { "subjects": [ "53C50" ], "keywords": [ "classification", "pseudo-riemannian manifold", "complex pseudo-hyperbolic space", "complex connected totally geodesic fibres", "real pseudo-hyperbolic space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1001.4490B" } } }