Poisson fiber bundles and coupling Dirac structures
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Publication:2426639
DOI10.1007/s10455-007-9079-3zbMath1151.53070arXivmath/0507594OpenAlexW2011411507MaRDI QIDQ2426639
Publication date: 23 April 2008
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507594
Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential topology (57Rxx) Fiber spaces and bundles in algebraic topology (55Rxx)
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Cites Work
- Unnamed Item
- Unnamed Item
- On the universal phase spaces for homogeneous principal bundles
- Closed forms on symplectic fibre bundles
- Poisson geometry of the principal series and nonlinearizable structures
- Fat bundles and symplectic manifolds
- Dirac structures and Poisson homogeneous spaces
- Foliation-coupling Dirac structures
- Reduction, symmetry, and phases in mechanics
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
- Dirac Manifolds
- Corrigenda to: Introduction to Symplectic Topology