Let M be a closed connected real analytic manifold; let be a free group on two generators. The set of analytic actions of 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. 524–548DOI 10.1007/S00014-002-8350-2