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arXiv · 2406.15886

Homogeneity of magnetic trajectories in the Berger sphere

Jun-ichi Inoguchi·Marian Ioan Munteanu
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Abstract

We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow.

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Jun-ichi Inoguchi, Marian Ioan Munteanu. 2024-06-22. Homogeneity of magnetic trajectories in the Berger sphere. https://doi.org/10.1016/j.jmaa.2025.129554

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