Singular reduction of Dirac structures

DOI10.1090/S0002-9947-2011-05220-7zbMath1385.70039arXiv0901.3062OpenAlexW1971704638MaRDI QIDQ3004360

Madeleine Jotz Lean, Jędrzej Śniatycki, Tudor S. Ratiu

Publication date: 1 June 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3062

zbMATH Keywords

singular Dirac reduction

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Homogeneous spaces of Dirac groupoids ⋮ On embedding of subcartesian differential space and application ⋮ On the Hochschild homology of proper Lie groupoids ⋮ On \(k\)-polycosymplectic Marsden-Weinstein reductions ⋮ Invariant frames for vector bundles and applications ⋮ Dirac structures, nonholonomic systems and reduction ⋮ Invariant generators for generalized distributions ⋮ DIRAC STRUCTURES FROM LIE INTEGRABILITY ⋮ Reduction of symmetries of Dirac structures ⋮ Induced Dirac structures on isotropy-type manifolds ⋮ Poisson reduction by distributions

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