{ "id": "math/0206136", "version": "v2", "published": "2002-06-13T15:13:41.000Z", "updated": "2007-07-19T13:52:05.000Z", "title": "The Existence of Cartan Connections and Geometrizable Principal Bundles", "authors": [ "Mohamed Barakat" ], "comment": "6 pages, corrected the principal typo :)", "journal": "Arch. Math. (Basel) 83 (2004), no. 2, 159--163", "doi": "10.1007/s00013-004-1048-5", "categories": [ "math.DG" ], "abstract": "The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal bundles are defined to finally prove the existence criterion.", "revisions": [ { "version": "v2", "updated": "2007-07-19T13:52:05.000Z" } ], "analyses": { "subjects": [ "53B05", "53C05", "53C10" ], "keywords": [ "geometrizable principal bundles", "cartan connection", "sufficient condition", "existence criterion", "terminology" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......6136B" } } }