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arXiv · 2509.11953

Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifolds

Rafael Azuaje·Xuefeng Zhao
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Abstract

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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Rafael Azuaje, Xuefeng Zhao. 2025-09-15. Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifolds. https://arxiv.org/abs/2509.11953

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