{ "id": "math/0703584", "version": "v1", "published": "2007-03-20T11:35:55.000Z", "updated": "2007-03-20T11:35:55.000Z", "title": "From the Brunn-Minkowski inequality to a class of Poincaré type inequalities", "authors": [ "Andrea Colesanti" ], "comment": "9 pages", "categories": [ "math.FA", "math.MG" ], "abstract": "We present an argument which leads from the Brunn-Minkowski inequality to a Poincare' type inequality on the boundary of convex bodies with smooth boundary and positive Gauss curvature", "revisions": [ { "version": "v1", "updated": "2007-03-20T11:35:55.000Z" } ], "analyses": { "subjects": [ "52A20", "26D10" ], "keywords": [ "brunn-minkowski inequality", "type inequality", "smooth boundary", "convex bodies" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......3584C" } } }