{ "id": "math/0406562", "version": "v3", "published": "2004-06-28T09:31:52.000Z", "updated": "2004-12-08T22:56:46.000Z", "title": "A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature", "authors": [ "Jun Ling" ], "comment": "Title changed", "categories": [ "math.DG", "math.AP" ], "abstract": "Along the line of the Yang Conjecture, we give a new estimate on the lower bound of the first non-zero eigenvalue of a closed Riemannian manifold with negative lower bound of Ricci curvature in terms of the in-diameter and the lower bound of Ricci curvature.", "revisions": [ { "version": "v3", "updated": "2004-12-08T22:56:46.000Z" } ], "analyses": { "subjects": [ "58J50", "35P15", "53C21" ], "keywords": [ "negative lower bound", "ricci curvature", "first eigenvalue", "closed manifold", "first non-zero eigenvalue" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......6562L" } } }