JournalscmhVol. 77 , No. 3DOI 10.1007/s00014-002-8350-2

On the dynamics of certain actions of free groups on closed real analytic manifolds

  • Michel Belliart

    Université Lille I, Villeneuve d'Ascq, France
On the dynamics of certain actions of free groups on closed real analytic manifolds cover

Abstract

Let M be a closed connected real analytic manifold; let Γ\Gamma be a free group on two generators. The set of analytic actions of Γ\Gamma on M endowed with Taken‘s 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.