Geometric Linearization for Constraint Hamiltonian Systems
Andronikos Paliathanasis
Abstract:This study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and maximally symmetric spacetimes, focusing on the Noether symmetries admitted by the constraint Hamiltonian systems. Specifically, for systems derived from the singular Lagrangian LN,qk,q˙k=12Ngijq˙iq˙j−NV(qk), where N and qi are dependent variables and dimgij=n, the existence of nn+12 Noether symmetries is shown to be equivalent… Show more
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