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

共 19 条

[1] SLANT HELICES IN MINKOWSKI SPACE E13
Ali, Ahmad T.
Lopez, Rafael
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (01) : 159 - 167
[2] The contact magnetic flow in 3D Sasakian manifolds
Cabrerizo, J. L.
Fernandez, M.
Gomez, J. S.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (19)
[3] Calin C., SLANT CURVES IN 3 DI
[4] Slant Curves in 3-dimensional Normal Almost Contact Geometry
Calin, Constantin
Crasmareanu, Mircea
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (02) : 1067 - 1077
[5] Killing magnetic curves in three-dimensional almost paracontact manifolds
Calvaruso, Giovanni
Munteanu, Marian Ioan
Perrone, Antonella
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 423 - 439
[6] On slant curves in Sasakian 3-manifolds
Cho, Jong Taek
Inoguchi, Jun-ichi
Lee, Ji-Eun
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (03) : 359 - 367
[7] Some associated curves of Frenet non-lightlike curves in E13
Choi, Jin Ho
Kim, Young Ho
Ali, Ahmad T.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 712 - 723
[8] On weakly para-cosymplectic manifolds of dimension 3
Dacko, Piotr
Olszak, Zbigniew
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2007, 57 (02) : 561 - 570
[9] Killing magnetic curves in a Minkowski 3-space
Druta-Romaniuc, Simona Luiza
Munteanu, Marian Ioan
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 383 - 396
[10] Magnetic curves corresponding to Killing magnetic fields in E3
Druta-Romaniuc, Simona Luiza
Munteanu, Marian Ioan
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (11)

← 1 2 →