On the dynamics of certain actions of free groups on closed real analytic manifolds (Q1849706)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the dynamics of certain actions of free groups on closed real analytic manifolds |
scientific article; zbMATH DE number 1837405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dynamics of certain actions of free groups on closed real analytic manifolds |
scientific article; zbMATH DE number 1837405 |
Statements
On the dynamics of certain actions of free groups on closed real analytic manifolds (English)
0 references
1 December 2002
0 references
Summary: Let \(M\) be a closed connected real analytic manifold; let \(\Gamma \) be a free group on two generators. The set of analytic actions of \(\Gamma \) on \(M\) endowed with Takens' topology contains a nonempty open subset whose corresponding actions share three properties: (a) they have every orbit dense, (b) they leave invariant no geometric structure on \(M\), (c) any homeomorphism conjugating two of them is analytic.
0 references
Rigidity
0 references
infinitesimal pseudogroups
0 references
invariant geometric structure
0 references
