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

页码：2087 / 2097

页数：11

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