On the perfectness of C^{∞,s}-diffeomorphism groups on a foliated manifold

Article English OPEN
Jacek Lech;
  • Publisher: AGH Univeristy of Science and Technology Press
  • Journal: Opuscula Mathematica (issn: 1232-9274)
  • Publisher copyright policies & self-archiving
  • Subject: perfectness | commutator | Applied mathematics. Quantitative methods | T57-57.97 | group of \(C^{\infty}\)-diffeomorphisms | foliation
    arxiv: Mathematics::Dynamical Systems | Mathematics::Symplectic Geometry

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 Epste... View more
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