Szczegóły publikacji
Opis bibliograficzny
Smooth perfectness for the group of diffeomorphisms / Stefan Haller, Tomasz RYBICKI, Josef Teichmann // Journal of Geometric Mechanics ; ISSN 1941-4889. — 2013 — vol. 5 no. 3, s. 281–294. — Bibliogr. s. 293–294, Abstr.
Autorzy (3)
- Haller Stefan
- AGHRybicki Tomasz
- Teichmann Josef
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 78847 |
|---|---|
| Data dodania do BaDAP | 2014-01-21 |
| DOI | 10.3934/jgm.2013.5.281 |
| Rok publikacji | 2013 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Geometric Mechanics |
Abstract
Given a result of Herman, we provide a new elementary proof of the fact that the connected component of the identity in the group of compactly supported diffeomorphisms is perfect and hence simple. Moreover, we show that every diffeomorphism g, which is sufficiently close to the identity, can be represented as a product of four commutators, g = [h(1), k(1)] o ... o [h(4), k(4)], where the factors h(i) can be chosen to depend smoothly on g, and k(i) = exp(X-i) are flows at time one of complete vector fields X-i which are independent of g.