{ "id": "1301.5666", "version": "v1", "published": "2013-01-23T22:45:14.000Z", "updated": "2013-01-23T22:45:14.000Z", "title": "Characterizations of the Quaternionic Mannheim Curves in E^4", "authors": [ "O. Zeki Okuyucu" ], "comment": "10 pages", "journal": "Math. Combin. Book Ser., Vol.2 (2013), 44-53", "categories": [ "math.DG" ], "abstract": "In [5], Matsuda and Yorozo obtained that Mannheim curves in 4-dimensional Euclidean space. In this study, we define quaternionic Mannheim curves and we give some characterizations of them in Euclidean 3-space and 4-space.", "revisions": [ { "version": "v1", "updated": "2013-01-23T22:45:14.000Z" } ], "analyses": { "subjects": [ "11R52", "53A04" ], "keywords": [ "characterizations", "define quaternionic mannheim curves", "euclidean space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.5666Z" } } }