Ergodicity and rigidity for certain subgroups of ${\rm Diff}^\omega (S^1)$

Julio C. Rebelo

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We define the separatrices for pseudogroups of diffeomorphisms of open neighbourhoods of the origin in the complex plane $ℂ$ and prove their existence for non solvable pseudogroups (Theorem 1). This extends a result by Shcherbakov (in [21]) accurately. Our method also applies to prove the topological rigidity theorem for generic pseudogroups attributed to Shcherbakov (dans [20]).

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Displaying similar documents to “Ergodicity and rigidity for certain subgroups of Diff ω ( S 1 ) ”

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Displaying similar documents to “Ergodicity and rigidity for certain subgroups of ${Diff}^{ω} (S^{1})$ ”

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