Killing magnetic curves in three-dimensional almost paracontact manifolds

被引：44
|
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
收藏
页码：423 / 439
页数：17
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