{ "id": "math/0603101", "version": "v2", "published": "2006-03-03T21:50:48.000Z", "updated": "2006-05-03T16:02:18.000Z", "title": "The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces", "authors": [ "Zheng Huang" ], "comment": "11 pages, a missing reference is added", "categories": [ "math.DG", "math.CV" ], "abstract": "On the thick part of the moduli space of Riemann surfaces, where there is a positive lower bound of the systole of the surface, we show that all Weil-Petersson Riemannian curvatures are bounded, independent of the genus of the surface.", "revisions": [ { "version": "v2", "updated": "2006-05-03T16:02:18.000Z" } ], "analyses": { "subjects": [ "32G15", "53C21", "30F60" ], "keywords": [ "moduli space", "riemann surfaces", "thick part", "weil-petersson geometry", "weil-petersson riemannian curvatures" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......3101H" } } }