Periodic magnetic curves in elliptic Sasakian space forms
Differential Geometry
2018-11-30 v1
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 them. 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 .
Keywords
Cite
@article{arxiv.1310.2899,
title = {Periodic magnetic curves in elliptic Sasakian space forms},
author = {Jun-ichi Inoguchi and Marian Ioan Munteanu},
journal= {arXiv preprint arXiv:1310.2899},
year = {2018}
}
Comments
14 pages, 3 figures