PERIODIC MAGNETIC CURVES IN BERGER SPHERES

被引：25
|
作者：
Inoguchi, Jun-ichi [1 ]
Munteanu, Marian Ioan [2 ]
机构：
[1] Univ Tsukuba, Inst Math, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058571, Japan
[2] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania
来源：
TOHOKU MATHEMATICAL JOURNAL | 2017年 / 69卷 / 01期
关键词：
Magnetic field; Berger sphere; elliptic Sasakian space form; Hopf torus; periodic curve; FLAT TORI;
D O I：
10.2748/tmj/1493172131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is an interesting question whether a given equation of motion has a periodic solution or not, and in the positive case to describe it. We investigate periodic magnetic curves in elliptic Sasakian space forms and we obtain a quantization principle for periodic magnetic bowlines on Berger spheres. We give a criterion for periodicity of magnetic curves on the unit sphere S-3.
引用
收藏
页码：113 / 128
页数：16
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