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

Author

Listed:
  • Marian Ioan Munteanu

    (Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I, n. 11, 700506 Iasi, Romania)

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.

Suggested Citation

  • Marian Ioan Munteanu, 2022. "Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3," Mathematics, MDPI, vol. 10(4), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:544-:d:745837
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