Diff(Rn) as a Milnor–Lie group

DOI10.1002/mana.200310288zbMath1073.58011OpenAlexW2128934974WikidataQ115405929 ScholiaQ115405929MaRDI QIDQ5463648

Helge Glöckner

Publication date: 5 August 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310288

zbMATH Keywords

smoothnesscompact supporttest functionnon-compact manifoldinfinite-dimensional Lie groupconvenient differential calculusalmost local mapDiffeomorphism groupKeller's \(C_c^{\infty}\) -theory

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Continuous and differentiable maps in nonlinear functional analysis (46T20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (6)

Lie theory for asymptotic symmetries in general relativity: The NU group ⋮ Solutions to open problems in Neeb's recent survey on infinite-dimensional Lie groups ⋮ An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\) ⋮ Diffeomorphism groups of compact convex sets ⋮ The diffeomorphism group of a non-compact orbifold ⋮ On the unit component of the Newman–Unti group

Cites Work

• Unnamed Item
• On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• On a differential structure for the group of diffeomorphisms
• The inverse function theorem of Nash and Moser

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