{ "id": "0907.3415", "version": "v1", "published": "2009-07-20T14:53:13.000Z", "updated": "2009-07-20T14:53:13.000Z", "title": "6-dimensional nearly Kaehler manifolds of cohomogeneity one", "authors": [ "Fabio Podesta'", "Andrea Spiro" ], "comment": "14 pages", "categories": [ "math.DG" ], "abstract": "We consider 6-dimensional strict nearly Kaehler manifolds acted on by a compact, cohomogeneity one automorphism group G. We classify the compact manifolds of this class up to G-diffeomorphisms. We also prove that the manifold has constant sectional curvature whenever the group G is simple.", "revisions": [ { "version": "v1", "updated": "2009-07-20T14:53:13.000Z" } ], "analyses": { "subjects": [ "53C25", "57S15" ], "keywords": [ "cohomogeneity", "constant sectional curvature", "automorphism group", "compact manifolds" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.geomphys.2009.09.008", "journal": "Journal of Geometry and Physics", "year": 2010, "month": "Feb", "volume": 60, "number": 2, "pages": 156 }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010JGP....60..156P" } } }