{ "id": "0805.1845", "version": "v1", "published": "2008-05-13T13:17:44.000Z", "updated": "2008-05-13T13:17:44.000Z", "title": "On the $L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature", "authors": [ "Vladimir Gol'dshtein", "Marc Troyanov" ], "comment": "10 pages", "categories": [ "math.DG", "math.AP" ], "abstract": "We prove a non-vanishing result for the $L_{q,p}$-cohomology of complete simply-connected Riemannian manifolds with pinched negative curvature.", "revisions": [ { "version": "v1", "updated": "2008-05-13T13:17:44.000Z" } ], "analyses": { "subjects": [ "53C20", "58A10", "46E35" ], "keywords": [ "cohomology", "complete simply-connected riemannian manifolds", "pinched negative curvature" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0805.1845G" } } }