On some Closed Magnetic Curves on a 3-torus

被引：0
|
作者：
Marian Ioan Munteanu
Ana Irina Nistor
机构：
[1] Alexandru Ioan Cuza University of Iaşi,Faculty of Mathematics
[2] Gh. Asachi Technical University of Iaşi,Department of Mathematics and Informatics
来源：
Mathematical Physics, Analysis and Geometry | 2017年 / 20卷
关键词：
Magnetic field; Closed curve; Periodicity; Elliptic function; 53C15; 53C25; 37J45; 37C27; 53C80;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider two magnetic fields on the 3-torus obtained from two different contact forms on the Euclidean 3-space and we study when their corresponding normal magnetic curves are closed. We obtain periodicity conditions analogues to those for the closed geodesics on the torus.
引用
收藏
相关论文
共 50 条
  • [41] FREE ACTIONS OF FINITE ABELIAN-GROUPS ON THE 3-TORUS
    LEE, KB
    SHIN, J
    YOKURA, S
    TOPOLOGY AND ITS APPLICATIONS, 1993, 53 (02) : 153 - 175
  • [42] Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus
    Cheng, Bin
    Sakellaris, Zisis N.
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 444
  • [43] Combinatorics of simple closed curves on the twice punctured torus
    Keen, L
    Parker, JR
    Series, C
    ISRAEL JOURNAL OF MATHEMATICS, 1999, 112 (1) : 29 - 60
  • [44] Combinatorics of simple closed curves on the twice punctured torus
    Linda Keen
    John R. Parker
    Caroline Series
    Israel Journal of Mathematics, 1999, 112 : 29 - 60
  • [45] Extending periodic maps from the genus 2 surface to the 3-torus
    Wang, Weibiao
    Zhang, Yimu
    TOPOLOGY AND ITS APPLICATIONS, 2025, 361
  • [46] FATES OF 3-TORUS .1. DOUBLE DEVILS STAIRCASE IN LOCKINGS
    KANEKO, K
    PROGRESS OF THEORETICAL PHYSICS, 1984, 71 (02): : 282 - 294
  • [47] Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics on 3-torus
    Micena, F.
    Tahzibi, A.
    NONLINEARITY, 2013, 26 (04) : 1071 - 1082
  • [48] Global analytic, Gevrey and C8 hypoellipticity on the 3-torus
    Himonas, A. Alexandrou
    Petronilho, Gerson
    Carvalho dos Santos, L. A.
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (2-3) : 265 - 282
  • [49] Integrable billiard systems realize toric foliations on lens spaces and the 3-torus
    Vedyushkina, V. V.
    SBORNIK MATHEMATICS, 2020, 211 (02) : 201 - 225
  • [50] Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
    Bergamasco, Adalberto P.
    Dattori da Silva, Paulo L.
    Gonzalez, Rafael B.
    Kirilov, Alexandre
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2015, 6 (03) : 341 - 360
12345