Outline
DOI: 10.7494/opmath.2008.28.3.313 ISSN: 1232-9274
On the perfectness of C<sup>∞,s</sup>-diffeomorphism groups on a foliated manifold
Jacek LechThe 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.
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