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Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³
Інший ID:
2010 Mathematics Subject Classification: 53D42; 53C25
DOI:10.3842/SIGMA.2011.058
DOI:10.3842/SIGMA.2011.058
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
463
Завантажень:
268
Анотація:
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'.
