On the structure of certain nontransitive diffeomorphism groups on open manifolds
Agnieszka Kowalik, Jacek Lech, Ilona Michalik
Opuscula Mathematica · 2012
doi:10.7494/opmath.2012.32.3.511 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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