{ "id": "math/0610558", "version": "v1", "published": "2006-10-18T14:58:02.000Z", "updated": "2006-10-18T14:58:02.000Z", "title": "Removing zero Lyapunov exponents in volume-preserving flows", "authors": [ "Mario Bessa", "Jorge Rocha" ], "comment": "10 pages", "categories": [ "math.DS" ], "abstract": "Baraviera and Bonatti proved that it is possible to perturb, in the c^1 topology, a volume-preserving and partial hyperbolic diffeomorphism in order to obtain a non-zero sum of all the Lyapunov exponents in the central direction. In this article we obtain the analogous result for volume-preserving flows.", "revisions": [ { "version": "v1", "updated": "2006-10-18T14:58:02.000Z" } ], "analyses": { "subjects": [ "37D30", "37D25", "37A99" ], "keywords": [ "removing zero lyapunov exponents", "volume-preserving flows", "partial hyperbolic diffeomorphism", "non-zero sum", "central direction" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }