Abstract
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 ${\mathbb{S}}^3$.
Citation
Jun-ichi Inoguchi. Marian Ioan Munteanu. "Periodic magnetic curves in Berger spheres." Tohoku Math. J. (2) 69 (1) 113 - 128, 2017. https://doi.org/10.2748/tmj/1493172131
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