On Banach-Lie groups acting on finite dimensional manifolds

DOI10.2748/tmj/1178230027zbMath0409.58009OpenAlexW2093085841WikidataQ115227202 ScholiaQ115227202MaRDI QIDQ1259067

Hideki Omori

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230027

zbMATH Keywords

Banach-Lie Groups Acting Smoothly on Finite Dimensional Manifolds

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Noncompact Lie groups of transformations (57S20)

Related Items (10)

Some remarks on estimation algebras ⋮ On completeness of groups of diffeomorphisms ⋮ Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps ⋮ Theory of infinite dimensional Lie groups and its applications ⋮ The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics ⋮ Minimizing acceleration on the group of diffeomorphisms and its relaxation ⋮ Integration of locally exponential Lie algebras of vector fields ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Towards a Lie theory of locally convex groups ⋮ Large scale geometry of Banach-Lie groups

Cites Work

• About interactions between Banach-Lie groups and finite dimensional manifolds
• Infinite dimensional Lie transformation groups
• The infinite groups of Lie and Cartan. I: The transitive groups
• Lie groups with Banach spaces as parameter spaces
• The classification of the real primitive infinite Lie algebras
• Infinite dimensional primitive Lie algebras
• The classification of real primitive infinite Lie algebras
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On Lie Algebras of Vector Fields
• Analytical Groups
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