Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
PERIODIC MAGNETIC CURVES IN BERGER SPHERES
Jun-ichi InoguchiMarian Ioan Munteanu

ジャーナル フリー

2017 年 69 巻 1 号 p. 113-128

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 flowlines on Berger spheres. We give a criterion for periodicity of magnetic curves on the unit sphere $\mathbb{S}^3$.

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© 2017 THE TOHOKU UNIVERSITY
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