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This article is cited in 35 scientific papers (total in 35 papers)
Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
Charles P. Boyer Department of Mathematics and Statistics, University of New Mexico,
Albuquerque, NM 87131, USA
Abstract:
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 $S^2\times S^3$. In particular we give a complete solution to the contact equivalence problem for a class of toric contact structures, $Y^{p,q}$, discovered by physicists by showing that $Y^{p,q}$ and $Y^{p',q'}$ are inequivalent as contact structures if and only if $p\neq p'$.
Keywords:
complete integrability; toric contact geometry; equivalent contact structures; orbifold Hirzebruch surface; contact homology; extremal Sasakian structures.
Received: January 28, 2011; in final form June 8, 2011; Published online June 15, 2011
Citation:
Charles P. Boyer, “Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$”, SIGMA, 7 (2011), 058, 22 pp.
Linking options:
https://www.mathnet.ru/eng/sigma616 https://www.mathnet.ru/eng/sigma/v7/p58
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Abstract page: | 240 | Full-text PDF : | 95 | References: | 49 |
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