Tangent Dirac structures

DOI10.1088/0305-4470/23/22/010zbMath0715.58013OpenAlexW2043172796MaRDI QIDQ3202865

Theodore James Courant

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/22/010

zbMATH Keywords

liftingDirac structurespre-symplectic structuretangent Poisson structures

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (17)

Vertical and horizontal lifts of multivector fields and applications ⋮ Linear and multiplicative 2-forms ⋮ Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems ⋮ Dirac structures in Lagrangian mechanics. II: Variational structures ⋮ Lie algebroids and Poisson-Nijenhuis structures ⋮ Vertical lifts of higher order of multivector fields and applications to Poisson geometry ⋮ Invariant frames for vector bundles and applications ⋮ Reduction of Dirac structures and the Hamilton-Pontryagin principle ⋮ Variational and geometric structures of discrete Dirac mechanics ⋮ Warps, grids and curvature in triple vector bundles ⋮ TANGENT DIRAC STRUCTURES AND SUBMANIFOLDS ⋮ Prolongations of Dirac structures related to Weil bundles ⋮ Pseudo-Dirac structures ⋮ Double Lie algebroids and second-order geometry. II ⋮ On characterization of Poisson and Jacobi structures ⋮ Dirac structures in vakonomic mechanics ⋮ Lie bialgebroids and Poisson groupoids

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