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Article

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

by
Marian Ioan Munteanu
Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I, n. 11, 700506 Iasi, Romania
Mathematics 2022, 10(4), 544; https://doi.org/10.3390/math10040544
Submission received: 23 January 2022 / Revised: 1 February 2022 / Accepted: 2 February 2022 / Published: 10 February 2022
(This article belongs to the Special Issue Differential Geometry: Theory and Applications Part II)
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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 magnetic Jacobi field; cosymplectic manifold; magnetic geodesic; 3-dimensional Lie group

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MDPI and ACS Style

Munteanu, M.I. Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3. Mathematics 2022, 10, 544. https://doi.org/10.3390/math10040544

AMA Style

Munteanu MI. Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3. Mathematics. 2022; 10(4):544. https://doi.org/10.3390/math10040544

Chicago/Turabian Style

Munteanu, Marian Ioan. 2022. "Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3" Mathematics 10, no. 4: 544. https://doi.org/10.3390/math10040544

APA Style

Munteanu, M. I. (2022). Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3. Mathematics, 10(4), 544. https://doi.org/10.3390/math10040544

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