On the dynamics of certain actions of free groups on closed real analytic manifolds
type: Item
instance of: scholarly article
title: On the dynamics of certain actions of free groups on closed real analytic manifolds
zbMATH Open document ID: 1140.37312
author: Michel Belliart
published in: Commentarii Mathematici Helvetici
publication date: 2002-12-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37C85
Mathematics Subject Classification ID: 37C15
Mathematics Subject Classification ID: 53C24
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 1837405
zbMATH Keywords: Rigidity
zbMATH Keywords: infinitesimal pseudogroups
zbMATH Keywords: invariant geometric structure
MaRDI profile type: Publication
full work available at URL: s00014-002-8350-2
OpenAlex ID: W2055932902
DOI: 10.1007/S00014-002-8350-2
description: scientific article; zbMATH DE number 1837405