2022
DOI: 10.3390/math10040544
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Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3

Abstract: In this paper, we study contact magnetic geodesics in a 3-dimensional Lie group G endowed with a left invariant almost cosymplectic structure. We distinguish the two cases: G is unimodular, and G is nonunimodular. We pay a careful attention to the special case where the structure is cosymplectic, and we write down explicit expressions of magnetic geodesics and corresponding magnetic Jacobi fields.

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