This work demonstrates the development of canonical transformations in Hamiltonian Mechanics, emphasizing noether-like theorems and symmetries within locally conformal symplectic manifolds.
This paper is focused on the development of the notions of canonical and canonoid transformations within the framework of Hamiltonian Mechanics on locally conformal symplectic manifolds. Both, time-independent and time-dependent dynamics are considered. Noether-like theorems relating one-parameter groups of transformations with canonical and noncanonical symmetries, are formulated, proved as well as illustrated with elementary examples.
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Azuaje et al. (2025) studied this question.
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