Generalized helices in three-dimensional Lie groups

被引：3
|
作者：
Yampolsky, Alexander [1 ]
Opariy, Anastasiya [1 ]
机构：
[1] Kharkov Natl Univ, Fac Math & Comp Sci, Dept Pure Math, Kharkov, Ukraine
来源：
TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 03期
关键词：
Slant helix; Lancret's theorem; curves in Lie groups; SLANT HELICES;
D O I：
10.3906/mat-1806-33
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce three types of helices in three-dimensional Lie groups with left-invariant metric and give their geometrical description similar to that of Lancret. We generalize the results known for the case of three-dimensional Lie groups with bi-invariant metric.
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页码：1447 / 1455
页数：9
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