On Isomorphic Classical Diffeomorphism Groups. I

DOI10.2307/2045779zbMath0602.53027OpenAlexW4237501758MaRDI QIDQ3738189

Augustin Banyaga

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045779

zbMATH Keywords

diffeomorphismssymplectic formsvolume formscontact forms447.58002

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential topological aspects of diffeomorphisms (57R50)

Related Items (7)

Euler-Poincaré equations on semi-direct products ⋮ On isomorphic classical diffeomorphism groups. III ⋮ Invariants of contact structures and transversally oriented foliations ⋮ Lagrangian submanifolds in \(k\)-symplectic settings ⋮ On the group of polynomial antomorphisms of the affine planes ⋮ On the automorphisms of the Cremona group. ⋮ Isomorphisms Between Groups of Diffeomorphisms

Cites Work

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• Infinite dimensional Lie transformation groups
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Homeomorphism groups of certain topological spaces
• Isomorphisms between diffeomorphism groups
• Characterization of a differentiable structure by its group of diffeomorphisms
• LOCAL CLASSIFICATION OF NON-LINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
• Transitivity of the Automorphisms of Certain Geometric Structures
• The Lie Algebra of a Smooth Manifold

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