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

页码：423 / 439

页数：17

共 13 条

[1] The Gauss-Landau-Hall problem on Riemannian surfaces -: art. no. 112905
Barros, M
Romero, A
Cabrerizo, JL
Fernández, M
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)
[2] Magnetic vortices
Barros, M.
Romero, A.
[J]. EPL, 2007, 77 (03)
[3] 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)
[4] Calvaruso G., CLASSIFICATION UNPUB
[5] Calvaruso G., HOPF MAGNETIC UNPUB
[6] Druta-Romaniuc S. L., 2013, PREPRINT
[7] Conformal paracontact curvature and the local flatness theorem
Ivanov, Stefan
Vassilev, Dimiter
Zamkovoy, Simeon
[J]. GEOMETRIAE DEDICATA, 2010, 144 (01) : 79 - 100
[8] Magnetic Trajectories in an Almost Contact Metric Manifold R2N+1
Jleli, Mohamed
Munteanu, Marian Ioan
Nistor, Ana Irina
[J]. RESULTS IN MATHEMATICS, 2015, 67 (1-2) : 125 - 134
[9] Kuhnel W., 2006, STUD MATH LIB, V16
[10] A note on magnetic curves on S2n+1
Munteanu, Marian Ioan
Nistor, Ana Irina
[J]. COMPTES RENDUS MATHEMATIQUE, 2014, 352 (05) : 447 - 449

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