{ "id": "1311.0617", "version": "v1", "published": "2013-11-04T09:13:03.000Z", "updated": "2013-11-04T09:13:03.000Z", "title": "Some Characterizations of Quaternionic Rectifying Curves in the semi_Euclidean Space E^2_4", "authors": [ "Tülay Soyfidan", "Mehmet Ali Güngör" ], "comment": "17 pages", "categories": [ "math.GT" ], "abstract": "The notion of rectifying curve in the Euclidean space is introduced by Chen as a curve whose position vector always lies in its rectifying plane spanned by the tangent and the binormal vector field t and n_2 of the curve. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in R_1^3. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space Q_v.", "revisions": [ { "version": "v1", "updated": "2013-11-04T09:13:03.000Z" } ], "analyses": { "subjects": [ "11R52", "53A04", "53C50" ], "keywords": [ "characterizations", "semi real quaternionic rectifying curves", "semi-real spatial quaternionic rectifying curves", "binormal vector field", "position vector" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.0617S" } } }