On the existence of local slices for the action of transformation groups on open manifolds

Conditions for an infinite dimensional topological transformation group acting transitively on a smooth open manifold to have a slice at each point were given. The results showed that for a manifold whose dimension is finite and greater than 5, the slice exists at each point of the manifold includin...

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Bibliographic Details
Main Authors: Khalil, Assakta, Ahmad, Abd Ghafur Bin
Format: Conference Proceeding
Language:English
Subjects:
Manifolds (mathematics)
Transformations
Online Access:Get full text
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Summary:Conditions for an infinite dimensional topological transformation group acting transitively on a smooth open manifold to have a slice at each point were given. The results showed that for a manifold whose dimension is finite and greater than 5, the slice exists at each point of the manifold including points near the infinity, provided that the group is locally compact and the manifold is tame.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4966833