Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds
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 <inline-formula><math xmlns=&q...
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3220 |
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| author | Marian Ioan Munteanu Ana Irina Nistor |
| author_facet | Marian Ioan Munteanu Ana Irina Nistor |
| author_sort | Marian Ioan Munteanu |
| collection | DOAJ |
| description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">E</mi><mn>3</mn></msup></semantics></math></inline-formula> and we conclude with the description of magnetic Jacobi fields in the product spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">S</mi><mn>2</mn></msup><mo>×</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">H</mi><mn>2</mn></msup><mo>×</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-10T03:38:37Z |
| format | Article |
| id | doaj.art-eb94b7b82891492f882aa3c4812a1d6d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:38:37Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-eb94b7b82891492f882aa3c4812a1d6d2023-11-23T09:25:57ZengMDPI AGMathematics2227-73902021-12-01924322010.3390/math9243220Magnetic Jacobi Fields in 3-Dimensional Cosymplectic ManifoldsMarian Ioan Munteanu0Ana Irina Nistor1Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Bd. Carol I, n. 11, 700506 Iasi, RomaniaDepartment of Mathematics and Informatics, Gheorghe Asachi Technical University of Iasi, Bd. Carol I, n. 11A, 700506 Iasi, RomaniaWe 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">E</mi><mn>3</mn></msup></semantics></math></inline-formula> and we conclude with the description of magnetic Jacobi fields in the product spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">S</mi><mn>2</mn></msup><mo>×</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">H</mi><mn>2</mn></msup><mo>×</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2227-7390/9/24/3220magnetic Jacobi fieldcosymplectic manifoldmagnetic curve |
| spellingShingle | Marian Ioan Munteanu Ana Irina Nistor Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds Mathematics magnetic Jacobi field cosymplectic manifold magnetic curve |
| title | Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds |
| title_full | Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds |
| title_fullStr | Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds |
| title_full_unstemmed | Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds |
| title_short | Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds |
| title_sort | magnetic jacobi fields in 3 dimensional cosymplectic manifolds |
| topic | magnetic Jacobi field cosymplectic manifold magnetic curve |
| url | https://www.mdpi.com/2227-7390/9/24/3220 |
| work_keys_str_mv | AT marianioanmunteanu magneticjacobifieldsin3dimensionalcosymplecticmanifolds AT anairinanistor magneticjacobifieldsin3dimensionalcosymplecticmanifolds |