Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Boyer, C.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147180
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...