Almost Lie structures on an anchored Banach bundle

DOI10.1016/j.geomphys.2012.06.005zbMath1262.53077arXiv1111.5908OpenAlexW2091770208MaRDI QIDQ451030

Fernand Pelletier, Patrick Cabau

Publication date: 26 September 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5908

zbMATH Keywords

Banach manifoldalmost Banach Lie algebroidalmost Lie bracketBanach vector bundleHilbert snake

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (11)

On almost complex Lie algebroids ⋮ Queer Poisson brackets ⋮ Poisson structures on almost complex Lie algebroids ⋮ Fiber-wise linear Poisson structures related to \(W^\ast\)-algebras ⋮ Strong projective limit of Banach Lie algebroids ⋮ Integrability of weak distributions on Banach manifolds ⋮ Banach-Lie groupoids and generalized inversion ⋮ Snakes and articulated arms in an Hilbert space ⋮ Banach-Lie algebroids associated to the groupoid of partially invertible elements of a \(W^\ast\)-algebra ⋮ Convenient partial Poisson manifolds ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

Cites Work

• Integrability of weak distributions on Banach manifolds
• Exterior algebra of a Banach space
• Induction for weak symplectic Banach manifolds
• Smooth partitions of unity over Banach manifolds
• Banach Lie-Poisson spaces and reduction
• Some geometric aspects of variational calculus in constrained systems
• Snakes and articulated arms in an Hilbert space
• Banach Lie Algebroids
• Nonholonomic constraints: A new viewpoint
• Smooth Approximations in Banach Spaces
• Smooth Partitions of Unity on Manifolds
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