Reduction of Dirac structures and the Hamilton-Pontryagin principle

DOI10.1016/S0034-4877(08)00004-9zbMath1141.53081OpenAlexW2156853701MaRDI QIDQ925787

Jerrold E. Marsden, Hiroaki Yoshimura

Publication date: 23 May 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(08)00004-9

zbMATH Keywords

Dirac structuresreductionsPoisson structuresLagrangian systemsHamilton-Pontryagin principle

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)

Related Items

Implicit Lagrange-Routh equations and Dirac reduction, Dorfman connections and Courant algebroids, Higher-order variational calculus on Lie algebroids, Interconnection of Lagrange–Dirac systems through nonstandard interaction structures, Dirac structures, nonholonomic systems and reduction, Dirac reduction for nonholonomic mechanical systems and semidirect products, Variational and geometric structures of discrete Dirac mechanics, Lagrangian mechanics and reduction on fibered manifolds, Hamel's formalism for infinite-dimensional mechanical systems, Reduction of symmetries of Dirac structures, Induced Dirac structures on isotropy-type manifolds, Tensor products of Dirac structures and interconnection in Lagrangian mechanics, The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories

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