Reduction of symmetries of Dirac structures

DOI10.1007/s11784-011-0063-yzbMath1252.53094OpenAlexW1995393701MaRDI QIDQ1761408

Jędrzej Śniatycki

Publication date: 15 November 2012

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-011-0063-y

zbMATH Keywords

Dirac structuresproper actionsingular reductiondifferential spaces

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differentiable structures in differential topology (57R55) 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) Stratified sets (58A35)

Related Items (1)

Remarks on the behaviour of higher-order derivations on the gluing of differential spaces

Cites Work

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• On the existence of slices for actions of non-compact Lie groups
• Reduction of Courant algebroids and generalized complex structures
• Reduction of Dirac structures and the Hamilton-Pontryagin principle
• Smooth functions invariant under the action of a compact Lie group
• Lifting isotopies from orbit spaces
• Integral curves of derivations on locally semi-algebraic differential spaces
• Singular reduction of implicit Hamiltonian systems
• Orbits of families of vector fields on subcartesian spaces.
• Differential Geometry of Singular Spaces and Reduction of Symmetry
• Singular reduction of Dirac structures
• Stratified Subcartesian Spaces
• Dirac Manifolds
• Dirac Optimal Reduction
• Reduction, Brouwer's Hamiltonian, and the critical inclination
• Symmetry and reduction in implicit generalized Hamiltonian systems

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