{ "id": "1504.06835", "version": "v1", "published": "2015-04-26T14:54:07.000Z", "updated": "2015-04-26T14:54:07.000Z", "title": "Bounded geometry and leaves", "authors": [ "Jesús A. Álvarez López", "Ramón Barral Lijó" ], "comment": "21 pages", "categories": [ "math.GT", "math.MG" ], "abstract": "The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian foliated space.", "revisions": [ { "version": "v1", "updated": "2015-04-26T14:54:07.000Z" } ], "analyses": { "subjects": [ "57R30", "53C12" ], "keywords": [ "bounded geometry", "main theorem states", "compact riemannian foliated space", "complete connected riemannian manifold", "trivial holonomy" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150406835A" } } }