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Infinite Dimensional Lie Transformations Groups [electronic resource] / by Hideki Omori.
Material type:
TextSeries: Lecture Notes in Mathematics ; 427Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1974Description: XIV, 154 p. online resourceContent type: - text
- computer
- online resource
- 9783540372950
- 512 23
- QA150-272
Contents:
In:
Springer eBooks
General theory of strong ILB-Lie groups and subgroups -- Groups of diffeomorphisms -- Basic theorems I -- Vector bundle over strong ILB-Lie groups -- Review of the smooth extension theorem and a remark on elliptic operators -- Basic theorems II (Frobenius theorem) -- Frobenius theorem on strong ILB-Lie groups -- Miscellaneous examples -- Primitive transformation groups -- Lie algebras of vector fields -- Linear groups and groups of diffeomorphisms.
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General theory of strong ILB-Lie groups and subgroups -- Groups of diffeomorphisms -- Basic theorems I -- Vector bundle over strong ILB-Lie groups -- Review of the smooth extension theorem and a remark on elliptic operators -- Basic theorems II (Frobenius theorem) -- Frobenius theorem on strong ILB-Lie groups -- Miscellaneous examples -- Primitive transformation groups -- Lie algebras of vector fields -- Linear groups and groups of diffeomorphisms.
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