Abstract
Hamiltonian mechanics is geometry in phase space. Phase space has the structure of a symplectic manifold.
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Feng, K., Qin, M. (2010). Hamiltonian Mechanics and Symplectic Geometry. In: Symplectic Geometric Algorithms for Hamiltonian Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01777-3_4
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