{ "id": "math/0403050", "version": "v2", "published": "2004-03-02T18:36:30.000Z", "updated": "2004-06-15T10:07:44.000Z", "title": "Parallel Focal Structure and Singular Riemannian Foliations", "authors": [ "Dirk Toeben" ], "comment": "28 pages, article version of thesis", "categories": [ "math.DG" ], "abstract": "We prove that a submanifold with parallel focal structure, which is a generalization of isoparametric and equifocal submanifolds, induces a singular Riemannian foliation of the ambient space by its parallel and focal manifolds.", "revisions": [ { "version": "v2", "updated": "2004-06-15T10:07:44.000Z" } ], "analyses": { "subjects": [ "53C12", "53C40" ], "keywords": [ "singular riemannian foliation", "parallel focal structure", "equifocal submanifolds", "focal manifolds", "ambient space" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......3050T" } } }