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math-ph2020
A geometric approach to the generalized Noether theorem
Alessandro Bravetti, Angel Garcia-Chung
We provide a geometric extension of the generalized Noether theorem for scaling symmetries recently presented in \cite{zhang2020generalized}. Our version of the generalized Noether…
math-ph2020
Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
Alessandro Bravetti, Manuel de León, Juan Carlos Marrero +1
We prove that, under some natural conditions, Hamiltonian systems on a contact manifold can be split into a Reeb dynamics on an open subset of and a Liouville dynamics on a…