On foliated, Poisson and Hamiltonian diffeomorphisms

DOI10.1016/S0926-2245(01)00042-0zbMath0988.22010WikidataQ115338298 ScholiaQ115338298MaRDI QIDQ5945498

Tomasz Rybicki

Publication date: 30 June 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Poisson manifoldfoliated manifoldgroups of diffeomorphismsleaf preserving diffeomorphism groupPoisson and Hamiltonian diffeomorphisms

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations in differential topology; geometric theory (57R30) Differential topological aspects of diffeomorphisms (57R50)

Related Items (8)

Commutators of contactomorphisms ⋮ Unnamed Item ⋮ Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces. I ⋮ On the structure of the commutator subgroup of certain homeomorphism groups ⋮ Unnamed Item ⋮ Diffeomorphisms preserving Morse-Bott functions ⋮ Poisson structures whose Poisson diffeomorphism group is not locally path-connected ⋮ Unnamed Item

Cites Work

• Lemme de Moser feuilleté et classification des variétés de Poisson régulières. (Foliated version of Moser's lemma and classification of regular Poisson manifolds)
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• On the group of diffeomorphisms preserving a locally conformal symplectic structure
• Les variétés de Poisson et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• Flux homomorphism on symplectic groupoids
• Homotopy theory of infinite dimensional manifolds
• Symplectic manifolds and their Lagrangian submanifolds
• Variétés de Poisson et feuilletages
• Corrigenda to: Introduction to Symplectic Topology
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