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Magnetic curves in the real special linear group
Advances in Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2019-01-01 , DOI: 10.4310/atmp.2019.v23.n8.a6
Jun-Ichi Inoguchi 1 , Marian Ioan Munteanu 2
Affiliation  

We investigate contact magnetic curves in the real special linear group of degree 2. They are geodesics of the Hopf tubes over the projection curve. We prove that periodic contact magnetic curves in SL(2,R) can be quantized in the set of rational numbers. Finally, we study contact homogeneous magnetic trajectories in SL(2,R) and show that they project to horocycles in H2(-4).

中文翻译:

实特殊线性群中的磁曲线

我们研究了 2 阶真实特殊线性群中的接触磁曲线。它们是投影曲线上 Hopf 管的测地线。我们证明了 SL(2,R) 中的周期性接触磁曲线可以在有理数集合中量化。最后,我们研究了 SL(2,R) 中的接触均匀磁轨迹,并表明它们投射到 H2(-4) 中的 horocycles。
更新日期:2019-01-01
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