{ "id": "1511.08985", "version": "v1", "published": "2015-11-29T09:39:43.000Z", "updated": "2015-11-29T09:39:43.000Z", "title": "Reeb components of leafwise complex foliations and their symmetries III", "authors": [ "Tomohiro Horiuchi", "Yoshihiko Mitsumatsu" ], "comment": "10 pages", "categories": [ "math.GT", "math.DG" ], "abstract": "The automorphisms group of the 3-dimensional Reeb component with complex leaves is computed in the case where the component is obtained by the Hopf construction and the holonomy of the boundary leaf is not tangent to the identity to the infinite order. Combined with a previous work, for 3-dimensional Reeb components obtained by the Hopf construction, we have an almost complete description of the groups of leafwise holomorphic smooth automorphisms.", "revisions": [ { "version": "v1", "updated": "2015-11-29T09:39:43.000Z" } ], "analyses": { "subjects": [ "57R30", "58D19", "58D05" ], "keywords": [ "reeb component", "leafwise complex foliations", "symmetries", "hopf construction", "leafwise holomorphic smooth automorphisms" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }