{ "id": "math/9903101", "version": "v1", "published": "1999-03-17T05:03:43.000Z", "updated": "1999-03-17T05:03:43.000Z", "title": "Constant mean curvature surfaces with three ends", "authors": [ "Karsten Grosse-Brauckmann", "Robert B. Kusner", "John M. Sullivan" ], "comment": "LaTex, 4 pages, 1 postscript figure", "doi": "10.1073/pnas.97.26.14067", "categories": [ "math.DG" ], "abstract": "We announce the classification of complete, almost embedded surfaces of constant mean curvature, with three ends and genus zero: they are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.", "revisions": [ { "version": "v1", "updated": "1999-03-17T05:03:43.000Z" } ], "analyses": { "subjects": [ "53A10", "49Q10" ], "keywords": [ "constant mean curvature surfaces", "genus zero", "asymptotic necksizes", "embedded surfaces", "classification" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }