Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
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| Creator |
Işim Efe, M.
Abadoğlu, E. |
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| Description |
In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only if the first Chern class of the normal bundle of the given vector field vanishes. Furthermore, the bi-Hamiltonian structure is globally compatible if and only if the Bott class of the complex codimension one foliation defined by the given vector field vanishes.
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| Date |
2019-02-18T16:11:46Z
2019-02-18T16:11:46Z 2017 |
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| Type |
Article
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| Identifier |
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds / M. Işim Efe, E. Abadoğlu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 13 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53D17; 53D35 DOI:10.3842/SIGMA.2017.055 http://dspace.nbuv.gov.ua/handle/123456789/148578 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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