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.
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