Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³
I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular we give a complete solution to the contact equivalence problem for a class of t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147180 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ / C.P. Boyer // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 58 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723959865212928 |
|---|---|
| author | Boyer, C.P. |
| author_facet | Boyer, C.P. |
| citation_txt | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ / C.P. Boyer // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 58 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular we give a complete solution to the contact equivalence problem for a class of toric contact structures, Yp,q, discovered by physicists by showing that Yp,q and Yp',q' are inequivalent as contact structures if and only if p≠p'.
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| first_indexed | 2025-12-07T18:44:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147180 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:44:37Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Boyer, C.P. 2019-02-13T18:32:17Z 2019-02-13T18:32:17Z 2011 Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ / C.P. Boyer // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 58 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D42; 53C25 DOI:10.3842/SIGMA.2011.058 https://nasplib.isofts.kiev.ua/handle/123456789/147180 I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular we give a complete solution to the contact equivalence problem for a class of toric contact structures, Yp,q, discovered by physicists by showing that Yp,q and Yp',q' are inequivalent as contact structures if and only if p≠p'. This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html.
 During the conference I enjoyed conversations with E. Kalnins, N. Kamran, J. Kress,
 W. Miller Jr., and P. Winternitz. I also want to thank J. Pati, my collaborator in [25] without
 whom the present paper could not have been written. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ Article published earlier |
| spellingShingle | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ Boyer, C.P. |
| title | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ |
| title_full | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ |
| title_fullStr | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ |
| title_full_unstemmed | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ |
| title_short | Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ |
| title_sort | completely integrable contact hamiltonian systems and toric contact structures on s²×s³ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147180 |
| work_keys_str_mv | AT boyercp completelyintegrablecontacthamiltoniansystemsandtoriccontactstructuresons2s3 |