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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 058, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.058
(Mi sigma616)
 

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
References:
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
Bibliographic databases:
Document Type: Article
MSC: 53D42; 53C25
Language: English
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.
Citation in format AMSBIB
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\by Charles P.~Boyer
\paper Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
\jour SIGMA
\yr 2011
\vol 7
\papernumber 058
\totalpages 22
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  • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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