Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds

Marian Ioan Munteanu and Ana Irina Nistor
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Marian Ioan Munteanu: Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I, n. 11, 700506 Iasi, Romania
Ana Irina Nistor: Department of Mathematics and Informatics, Gheorghe Asachi Technical University of Iasi, Bd. Carol I, n. 11A, 700506 Iasi, Romania

Mathematics, 2021, vol. 9, issue 24, 1-18

Abstract: We classify the magnetic Jacobi fields in cosymplectic manifolds of dimension 3, enriching the results in the study of magnetic Jacobi fields derived from uniform magnetic fields. In particular, we give examples of Jacobi magnetic fields in the Euclidean space E 3 and we conclude with the description of magnetic Jacobi fields in the product spaces S 2 × R and H 2 × R .

Keywords: magnetic Jacobi field; cosymplectic manifold; magnetic curve (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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