REDUCTION OF LIE ALGEBROID STRUCTURES

DOI10.1142/S0219887805000909zbMath1081.53069OpenAlexW2072980844MaRDI QIDQ5709219

Patrícia Santos, Joana M. Nunes da Costa, José F. Cariñena

Publication date: 29 November 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887805000909

zbMATH Keywords

Lie algebroidsPoisson reductionMarsden-Ratiu reduction method

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10)

Related Items (2)

Reduction of Lagrangian mechanics on Lie algebroids ⋮ Foliated Lie and Courant algebroids

Cites Work

• Algebraic constructions in the category of Lie algebroids
• Reduction of Poisson manifolds
• Reduction of degenerate Lagrangian systems
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• On local and global equivalence of wave functions
• Gauge equivalence of representations of symmetry groups in quantum mechanics
• Hamiltonian versus Lagrangian formulations of supermechanics
• Lie algebroids and homological vector fields
• The Toda lattice. II. Existence of integrals
• Contractions: Nijenhuis and Saletan tensors for general algebraic structures
• Lie Algebroids and Lie Pseudoalgebras
• Tangent Lie algebroids
• Lagrangian submanifolds and dynamics on Lie algebroids
• Compatible Lie algebroids and the periodic Toda lattice
• Toda equations, bi-Hamiltonian systems, and compatible Lie algebroids
• Lagrangian mechanics on Lie algebroids

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