Routh reduction and Cartan mechanics

DOI10.1016/j.geomphys.2016.11.015zbMath1359.53066arXiv1606.02630OpenAlexW2419067653MaRDI QIDQ512080

Santiago Capriotti

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02630

zbMATH Keywords

integrable systemsRouth reductionLepage-equivalent problemsPoincaré-Cartan forms

Mathematics Subject Classification ID

Related Items (4)

Symmetries and periodic orbits in simple hybrid Routhian systems ⋮ Routh reduction of Palatini gravity in vacuum ⋮ Routh reduction for first-order Lagrangian field theories ⋮ The symmetry reduction of variational integrals

Cites Work

• Implicit Lagrange-Routh equations and Dirac reduction
• Non-Abelian bosonization in two dimensions
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• Dirac structures in Lagrangian mechanics. II: Variational structures
• The solution to a generalized Toda lattice and representation theory
• Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
• Completely integrable systems, Euclidean Lie algebras, and curves
• Systems of Toda type, inverse spectral problems, and representation theory
• Calculus of variations via the Griffiths formalism
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Adler-Kostant-Symes systems as Lagrangian gauge theories
• Exterior differential systems with symmetry
• The Hamilton-Cartan formalism in the calculus of variations
• Reduction theory and the Lagrange–Routh equations
• The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories
• A Route to Routh — The Classical Setting
• ROUTH REDUCTION FOR SINGULAR LAGRANGIANS
• Reduction of exterior differential systems for ordinary variational problems
• Routh’s procedure for non-Abelian symmetry groups
• Anholonomic frames in constrained dynamics
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Quasivelocities and symmetries in non-holonomic systems
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