{ "id": "0910.2096", "version": "v1", "published": "2009-10-12T16:19:56.000Z", "updated": "2009-10-12T16:19:56.000Z", "title": "On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere", "authors": [ "Martin Kilian", "Martin U. Schmidt" ], "comment": "19 pages", "journal": "Proceedings of the 16th OCU International Academic Symposium 2008", "categories": [ "math.DG" ], "abstract": "We describe infinitesimal deformations of constant mean curvature surfaces of finite type in the 3-sphere. We use Baker-Akhiezer functions to describe such deformations, as well as polynomial Killing fields and the corresponding spectral curve to distinguish between isospectral and non-isospectral deformations.", "revisions": [ { "version": "v1", "updated": "2009-10-12T16:19:56.000Z" } ], "analyses": { "keywords": [ "finite type", "infinitesimal deformations", "cmc surfaces", "constant mean curvature surfaces", "corresponding spectral curve" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.2096K" } } }