{ "id": "2002.03986", "version": "v1", "published": "2020-02-10T17:57:40.000Z", "updated": "2020-02-10T17:57:40.000Z", "title": "Characterization of some convex curves on the 3-sphere", "authors": [ "Emília Alves" ], "categories": [ "math.GT" ], "abstract": "In this paper we provide a characterization for a class of convex curves on the 3-sphere. More precisely, using a theorem that decomposes a locally convex curve on the 3-sphere as a pair of curves on the 2-sphere, one of which is locally convex and the other is an immersion, we are capable of completely characterize a class of convex curves on the 3-sphere.", "revisions": [ { "version": "v1", "updated": "2020-02-10T17:57:40.000Z" } ], "analyses": { "keywords": [ "characterization", "locally convex curve", "decomposes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }