{ "id": "0804.0025", "version": "v1", "published": "2008-03-31T20:53:38.000Z", "updated": "2008-03-31T20:53:38.000Z", "title": "Distortion of Mappings and $L_{q,p}$-Cohomology", "authors": [ "Vladimir Gol'dshtein", "Marc Troyanov" ], "comment": "18 pages", "categories": [ "math.DG" ], "abstract": "We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the $L_{q,p}$-cohomology of these manifolds. Some applications to vanishing and non vanishing results in $L_{q,p}$-cohomology are given.", "revisions": [ { "version": "v1", "updated": "2008-03-31T20:53:38.000Z" } ], "analyses": { "subjects": [ "58A12", "30C66" ], "keywords": [ "cohomology", "distortion", "non vanishing results" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0804.0025G" } } }