{ "id": "2010.09371", "version": "v1", "published": "2020-10-19T10:43:40.000Z", "updated": "2020-10-19T10:43:40.000Z", "title": "The Lawson surfaces are determined by their symmetries and topology", "authors": [ "Nikolaos Kapouleas", "David Wiygul" ], "comment": "14 pages, no figures", "categories": [ "math.DG" ], "abstract": "We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmetries of a Lawson surface and has the same genus is congruent to the Lawson surface.", "revisions": [ { "version": "v1", "updated": "2020-10-19T10:43:40.000Z" } ], "analyses": { "subjects": [ "53A05" ], "keywords": [ "lawson surface", "symmetries", "round three-sphere", "closed embedded minimal surface" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }