{ "id": "1102.4384", "version": "v3", "published": "2011-02-22T01:57:33.000Z", "updated": "2011-10-07T02:30:59.000Z", "title": "Ricci flow on three-dimensional manifolds with symmetry", "authors": [ "John Lott", "Natasa Sesum" ], "comment": "final version", "categories": [ "math.DG", "math.AP" ], "abstract": "We describe the Ricci flow on two classes of compact three-dimensional manifolds: 1. Warped products with a circle fiber over a two-dimensional base. 2. Manifolds with a free local isometric U(1) x U(1) action.", "revisions": [ { "version": "v3", "updated": "2011-10-07T02:30:59.000Z" } ], "analyses": { "keywords": [ "ricci flow", "compact three-dimensional manifolds", "free local isometric", "circle fiber", "two-dimensional base" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.4384L" } } }