2021
DOI: 10.3390/math9243220
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Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds

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 E3 and we conclude with the description of magnetic Jacobi fields in the product spaces S2×R and H2×R.

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Cited by 5 publications
(8 citation statements)
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“…where constants c 1 , c 2 , c 3 , a 1 , a 2 , a 3 , ζ 1 , ζ 2 and ζ 3 are those obtained before. See also [8].…”
Section: Contact Magnetic Geodesics In the Euclidean Motion Group ẽ2mentioning
confidence: 99%
See 4 more Smart Citations
“…where constants c 1 , c 2 , c 3 , a 1 , a 2 , a 3 , ζ 1 , ζ 2 and ζ 3 are those obtained before. See also [8].…”
Section: Contact Magnetic Geodesics In the Euclidean Motion Group ẽ2mentioning
confidence: 99%
“…Remark 17. Since G(α, 0) endowed with the cosymplectic structure is a cosymplectic space form with constant ϕ-sectional curvature c = −α 2 we invite the reader to read our paper in [8].…”
Section: Remark 16mentioning
confidence: 99%
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