Abstract.
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 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.
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Received: October 3, 2001
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Belliart, M. On the dynamics of certain actions of free groups on closed real analytic manifolds. Comment. Math. Helv. 77, 524–548 (2002). https://doi.org/10.1007/s00014-002-8350-2
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DOI: https://doi.org/10.1007/s00014-002-8350-2