{ "id": "math/0312487", "version": "v2", "published": "2003-12-29T15:01:07.000Z", "updated": "2004-03-02T12:07:52.000Z", "title": "Non-smooth differential geometry and algebras of generalized functions", "authors": [ "Michael Kunzinger" ], "comment": "17 pages, typos corrected", "journal": "J. Math. Anal. Appl. 297, 456-471, 2004", "categories": [ "math.FA", "math.DG" ], "abstract": "Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article presents an introductory survey of recent developments in this field and highlights some applications in mathematical physics.", "revisions": [ { "version": "v2", "updated": "2004-03-02T12:07:52.000Z" } ], "analyses": { "subjects": [ "46F30", "46T30", "53B20" ], "keywords": [ "non-smooth differential geometry", "generalized functions offer possibilities", "introductory survey", "modelling singular quantities", "purely distributional approach" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....12487K" } } }