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About interactions between Banach-Lie groups and finite dimensional manifolds

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Publication:759442
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DOI10.1215/kjm/1250523479zbMath0271.58006OpenAlexW1511603595WikidataQ115240356 ScholiaQ115240356MaRDI QIDQ759442

Hideki Omori, Pierre De la Harpe

Publication date: 1972

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250523479



Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological transformation groups (57S99)


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Some remarks on estimation algebras ⋮ The orthogonal Lie algebra of operators: ideals and derivations ⋮ Diffeomorphism groups of compact manifolds ⋮ Integration of locally exponential Lie algebras of vector fields ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Examples of manifolds which are homogeneous spaces of Lie groups of arbitrarily large dimension ⋮ Towards a Lie theory of locally convex groups ⋮ On Banach-Lie groups acting on finite dimensional manifolds



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