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Browsing by Subject "group of diffeomorphisms"

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    Item type:Article, Access status: Open Access ,
    On the structure of certain nontransitive diffeomorphism groups on open manifolds
    (2012) Kowalik, Agnieszka; Lech, Jacek; Michalik, Ilona
    It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.