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Browsing by Subject "foliation"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On the perfectness of C∞,s-diffeomorphism groups on a foliated manifold
    (2008) Lech, Jacek
    The notion of $C^{r,s}$ and $C^{\infty,s}$-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving $C^{\infty,s}$-diffeomorphisms with compact supports is perfect. This result is a modification of the Mather and Epstein perfectness theorem.