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arXiv · 1101.5587

Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$

Charles P. Boyer
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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 $p\neq p'$.

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BibTeXRIS

Charles P. Boyer. 2011-01-28. Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$. https://doi.org/10.3842/sigma.2011.058

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