On the dynamics of certain actions of free groups on closed real analytic manifolds |
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| Authors: | M. Belliart |
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| Affiliation: | 1.Université de Lille I, U.M.R. “AGAT ”, U.F.R. de Mathématiques, F-59655 Villeneuve d?Ascq Cedex, France? e-mail: michel.belliart@agat.univ-lille1.fr,FR |
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| Abstract: | 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. Received: October 3, 2001 |
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| Keywords: | . Rigidity infinitesimal pseudogroups invariant geometric structure. |
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