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Tagged with hamiltonian-mechanics differential-topology
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On the existence of regular orbit cylinders
Let $(M,\omega,H)$ be a Hamiltonian system and assume that $\gamma$ is a periodic orbit on a regular energy hypersurface. Then the regular orbit cylinder theorem (see for example Abraham/Marsden: ...
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4
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When is a Divergence-Free Vector Field on the Tangent Bundle of a Riemannian Manifold Hamiltonian?
(Reposted from https://math.stackexchange.com/questions/2589600/when-is-a-divergence-free-vector-field-on-the-tangent-bundle-of-a-riemannian-man) Starting with a closed, connected Riemannian manifold $...
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