{ "id": "math/0606120", "version": "v1", "published": "2006-06-06T01:21:29.000Z", "updated": "2006-06-06T01:21:29.000Z", "title": "Maximal rank maps between Riemannian manifolds with bounded geometry", "authors": [ "C. Abreu-Suzuki" ], "comment": "32 pages, 11 figures", "categories": [ "math.DG" ], "abstract": "If Pi: M -> B is an onto smooth maximal rank map between complete Riemannian manifolds M and B with bounded geometry, we prove sufficient conditions for M to be roughly isometric to the Riemannian product FxB, where F is a fiber of M.", "revisions": [ { "version": "v1", "updated": "2006-06-06T01:21:29.000Z" } ], "analyses": { "subjects": [ "53C20" ], "keywords": [ "bounded geometry", "smooth maximal rank map", "riemannian product fxb", "complete riemannian manifolds", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......6120A" } } }