{ "id": "1205.5878", "version": "v2", "published": "2012-05-26T12:09:04.000Z", "updated": "2016-10-28T13:50:23.000Z", "title": "A result on Ricci curvature and the second Betti number", "authors": [ "Jianming Wan" ], "comment": "5 pages. All comments are welcome", "categories": [ "math.DG" ], "abstract": "We prove that the second Betti number of a compact Riemannian manifold vanishes under certain Ricci curved restriction.", "revisions": [ { "version": "v1", "updated": "2012-05-26T12:09:04.000Z", "journal": null, "doi": null }, { "version": "v2", "updated": "2016-10-28T13:50:23.000Z" } ], "analyses": { "keywords": [ "second betti number", "ricci curvature", "compact riemannian manifold vanishes", "ricci curved restriction" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.5878W" } } }