14 citations · 34 across the 6 of their papers we have counts for
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math-ph2014★ 6 cited
Aspects of reduction and transformation of Lagrangian systems with symmetry
E. García-Toraño Andrés, B. Langerock, F. Cantrijn
This paper contains results on geometric Routh reduction and it is a continuation of a previous paper where a new class of transformations is introduced between Lagrangian systems…
math.DG2014★ 14 cited
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
E. García-Toraño Andrés, E. Guzmán, J. C. Marrero +1
In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincaré and Lagrange-Poincaré reduction. In fact…