JournalscmhVol. 77, No. 3pp. 524–548

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
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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.

Cite this article

Michel Belliart, On the dynamics of certain actions of free groups on closed real analytic manifolds. Comment. Math. Helv. 77 (2002), no. 3, pp. 524–548

DOI 10.1007/S00014-002-8350-2