Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3

Marian Ioan Munteanu
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Marian Ioan Munteanu: Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I, n. 11, 700506 Iasi, Romania

Mathematics, 2022, vol. 10, issue 4, 1-21

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.

Keywords: magnetic Jacobi field; cosymplectic manifold; magnetic geodesic; 3-dimensional Lie group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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