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Hamiltonian systems, symplectic flows, classical integrable systems

2 votes

Contact structure on a circle bundle over a symplectic manifold.

If the Euler class is integral and the bundle is principal, the answer is yes. Moreover, the contact structure you obtain is regular. This is Theorem 3 in Boothby,W. M. and Wang, H. C.: On contact ma …
Liviu Ornea's user avatar