{ "id": "math/0702565", "version": "v1", "published": "2007-02-19T21:40:53.000Z", "updated": "2007-02-19T21:40:53.000Z", "title": "Minimal surfaces in the three-Sphere by doubling the Clifford Torus", "authors": [ "Nicolaos Kapouleas", "Seong-Deog Yang" ], "categories": [ "math.DG", "math.AP" ], "abstract": "We construct embedded closed minimal surfaces in the round three-sphere, resembling two parallel copies of the Clifford torus, joined by m^2 small catenoidal bridges symmetrically arranged along a square lattice of points on the torus.", "revisions": [ { "version": "v1", "updated": "2007-02-19T21:40:53.000Z" } ], "analyses": { "keywords": [ "clifford torus", "catenoidal bridges", "construct embedded closed minimal surfaces", "round three-sphere", "square lattice" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2565K" } } }