On the dynamics of certain actions of free groups on closed real analytic manifolds
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.
scientific article; zbMATH DE number 1837405