Routh reduction and Cartan mechanics

Abstract

In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step toward Routh reduction in field theory. Motivation for this generalization comes from an scheme for integrable systems [12], used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories [11]. As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler-Kostant-Symes systems discussed in [12] in terms of Routh reduction.

46 pages, comments are welcome. Version 2 contains an additional section concerning reduced equations of motion in quasicoordinates

References in corpus (4)

• Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
• Routh's procedure for non-Abelian symmetry groups
• Cartan algorithm and Dirac constraints for Griffiths variational problems
• Implicit Lagrange-Routh Equations and Dirac Reduction

Cited by in corpus (4)

• Symmetries and periodic orbits in simple hybrid Routhian systems
• Routh reduction for first-order field theories
• Motion of the heavy symmetric top when magnitudes of conserved angular momenta are different
• Routh Reduction of Palatini Gravity in Vacuum