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math.DG2026
Variational reduction of homogenous Lagrangian systems
Javier Fernández, Sergio Grillo, Juan Carlos Marrero +1
In this paper we show that a variational reduction procedure can be defined for Lagrangian systems subject to scaling symmetries (i.e. Lagrangian systems defined by a homogenous La…
math.DG2024
Mechanical Hamiltonization of unreduced -simple Chaplygin systems
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego
In this paper, we prove that the trajectories of unreduced -simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian…