ON MANNHEIM PARTNER CURVES IN THREE DIMENSIONAL LIE GROUPS

被引：11
|
作者：
Gok, Ismail [1 ]
Okuyucu, O. Zeki [2 ]
Ekmekci, Nejat [1 ]
Yayli, Yusuf [1 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
[2] Bilecik Seyh Edebali Univ, Fac Sci & Arts, Dept Math, TR-11210 Bilecik, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 02期
关键词：
Mannheim curves; Lie groups; HARMONIC CURVATURES; HELICES; SPACE;
D O I：
10.18514/MMN.2014.682
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define Mannheim partner curves in a three dimensional Lie group G with a bi-invariant metric. The main result of the paper is given as (Theorem 4): A curve ff W I R ! G with the Frenet apparatus fT; N; B; ; g is a Mannheim partner curve if and only if 1CH 2 D 1 where , are constants and H is the harmonic curvature function of the curve ff :
引用
收藏
页码：467 / 479
页数：13
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