Magnetic Curves in Three-Dimensional Quasi-Para-Sasakian Geometry

被引：18
|
作者：
Alin, C. C. [1 ]
Crasmareanu, M. [2 ]
机构：
[1] Tech Univ Gh Asachi, Dept Math, Iasi 700049, Romania
[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期
关键词：
Normal almost paracontact manifold; Magnetic/slant curve; Legendre curve; Lancret invariant; (Generalized) helix; SLANT CURVES;
D O I：
10.1007/s00009-015-0570-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study (non-geodesic) normal magnetic curves of three-dimensional normal almost paracontact manifolds. We compute their curvature and torsion as well as a Lancret invariant (in the non-Legendre case) and the mean curvature vector field. Two 1-parameter families of magnetic curves (first space like and second time like) are obtained in quasi-para-Sasakian manifolds which are not para-Sasakian; these are non-Legendre helices.
引用
收藏
页码：2087 / 2097
页数：11
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