- Tytuł:
- On the structure of certain nontransitive diffeomorphism groups on open manifolds
- Autorzy:
-
Kowalik, A.
Lech, J.
Michalik, I. - Powiązania:
- https://bibliotekanauki.pl/articles/254822.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
foliated manifold
bounded group
conjugation-invariant norm
group of diffeomorphisms
commutator
perfectness
uniform perfectness - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 3; 511-520
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł