{ "id": "math/0407138", "version": "v4", "published": "2004-07-08T19:44:24.000Z", "updated": "2004-12-08T23:25:41.000Z", "title": "The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture", "authors": [ "Jun Ling" ], "comment": "14 pages, Title changed", "categories": [ "math.DG", "math.AP" ], "abstract": "We give a new estimate on the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature and provide a solution for a conjecture of H. C. Yang.", "revisions": [ { "version": "v4", "updated": "2004-12-08T23:25:41.000Z" } ], "analyses": { "subjects": [ "58J50", "35P15", "53C21" ], "keywords": [ "first dirichlet eigenvalue", "compact manifold", "yang conjecture", "compact riemannian manifold", "ricci curvature" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......7138L" } } }