Slant helices in three dimensional Lie groups

被引:36
|
作者
Okuyucu, O. Zeki [1 ,2 ]
Gok, Ismail [3 ]
Yayli, Y. [3 ]
Ekmekci, N. [3 ]
机构
[1] Bilecik Seyh Edeabali Univ, Fac Sci & Arts, Dept Math, TR-11210 Bilecik, Turkey
[2] Bilecik Seyh Edeabali Univ, Fac Sci & Arts, Dept Math, TR-11210 Bilecik, Turkey
[3] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
关键词
Slant helices; Curves in Lie groups; HYPERSURFACES;
D O I
10.1016/j.amc.2013.07.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define slant helices in three dimensional Lie groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:672 / 683
页数:12
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