Invariant frames for vector bundles and applications

DOI10.1007/s10711-011-9618-8zbMath1319.70018OpenAlexW2057656520MaRDI QIDQ431044

Marco Zambon, Madeleine Jotz Lean, Tudor S. Ratiu

Publication date: 26 June 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9618-8

zbMATH Keywords

connectionLie group actionDirac reduction

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (5)

Homogeneous spaces of Dirac groupoids ⋮ Dirac structures, nonholonomic systems and reduction ⋮ Singular reduction of Dirac structures ⋮ Induced Dirac structures on isotropy-type manifolds ⋮ Foliated groupoids and infinitesimal ideal systems

Cites Work

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• New result on (f,g)-invariance
• Handbook of normal frames and coordinates
• Singular reduction of Dirac structures
• Tangent Dirac structures
• Dirac Manifolds
• Riemannian geometry and geometric analysis
• Symmetry and reduction in implicit generalized Hamiltonian systems

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