Killing magnetic curves in three-dimensional almost paracontact manifolds

被引：46

作者：

Calvaruso, Giovanni ^{[1
]}

Munteanu, Marian Ioan ^{[2
]}

Perrone, Antonella ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Italy

[2] Univ Alexandru Ioan Cuza Iasi, Dept Math, Iasi 700506, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期

关键词：

Almost paracontact metric structures; Normal structures; Killing vector fields; Magnetic curves;

D O I：

10.1016/j.jmaa.2015.01.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an arbitrary three-dimensional normal paracontact metric structure equipped with a Killing characteristic vector field, we obtain a complete classification of the magnetic curves of the corresponding magnetic field. In particular, this yields to a complete description of magnetic curves for the characteristic vector field of three-dimensional paraSasakian and paracosymplectic manifolds. Explicit examples are described for the hyperbolic Heisenberg group and a paracosymplectic model. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：423 / 439

页数：17

共 13 条

[1] The Gauss-Landau-Hall problem on Riemannian surfaces -: art. no. 112905 [J].