# Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold

@inproceedings{Ragnisco2021TimedependentHM, title={Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold}, author={Orlando Ragnisco and Cristina Sard{\'o}n and Marcin Zajkac}, year={2021} }

In this paper we aim at presenting a concise but also comprehensive study of time-dependent (tdependent) Hamiltonian dynamics on a locally conformal symplectic (lcs) manifold. We present a generalized geometric theory of canonical transformations and formulate a time-dependent geometric Hamilton-Jacobi theory on lcs manifolds. In contrast to previous papers concerning locally conformal symplectic manifolds, here the introduction of the time dependency brings out interesting geometric properties…

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