{ "id": "math/9801137", "version": "v1", "published": "1998-01-30T04:35:10.000Z", "updated": "1998-01-30T04:35:10.000Z", "title": "Metrics of constant curvature 1 with three conical singularities on 2-sphere", "authors": [ "Masaaki Umehara", "Kotaro Yamada" ], "comment": "20 pages, in LaTeX2e", "categories": [ "math.DG" ], "abstract": "A necessary and sufficient condition for the existence and uniqueness of a conformal metric on 2-sphere of constant curvature 1 and with three conical singularities of prescribed order is given.", "revisions": [ { "version": "v1", "updated": "1998-01-30T04:35:10.000Z" } ], "analyses": { "subjects": [ "30F10", "53C21", "53A10" ], "keywords": [ "constant curvature", "conical singularities", "conformal metric", "sufficient condition" ], "note": { "typesetting": "LaTeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......1137U" } } }