{ "id": "math/0510645", "version": "v1", "published": "2005-10-29T06:06:31.000Z", "updated": "2005-10-29T06:06:31.000Z", "title": "A lambda-lemma for normally hyperbolic invariant manifolds", "authors": [ "Jacky Cresson", "Stephen Wiggins" ], "comment": "21 pages", "categories": [ "math.DS" ], "abstract": "Let $N$ be a smooth manifold and $f:N\\to N$ be a $C^l$, $l\\geq 2$ diffeomorphism. Let $M$ be a normally hyperbolic invariant manifold, not necessarily compact. We prove an analogue of the $\\lambda$-lemma in this case.", "revisions": [ { "version": "v1", "updated": "2005-10-29T06:06:31.000Z" } ], "analyses": { "subjects": [ "37D05", "37D10", "37C29", "37G99" ], "keywords": [ "normally hyperbolic invariant manifold", "lambda-lemma", "smooth manifold", "diffeomorphism" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....10645C" } } }