- Tytuł:
- On the uniform perfectness of equivariant diffeomorphism groups for principal g manifolds
- Autorzy:
- Fukui, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/255255.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
uniform perfectness
principal G manifold
equivariant diffeomorphism - Opis:
- We proved in [K. Abe, K. Fukui, On commutators of equivariant diffeomorphisms, Proc. Japan Acad. 54 (1978), 52–54] that the identity component [formula] of the group of equivariant Cr-diffeomorphisms of a principal G bundle M over a manifold B is perfect for a compact connected Lie group G and [formula] In this paper, we study the uniform perfectness of the group of equivariant Cr-diffeomorphisms for a principal G bundle M over a manifold B by relating it to the uniform perfectness of the group of Cr-diffeomorphisms of B and show that under a certain condition, [formula] is uniformly perfect if B belongs to a certain wide class of manifolds. We characterize the uniform perfectness of the group of equivariant Cr-diffeomorphisms for principal G bundles over closed manifolds of dimension less than or equal to 3, and in particular we prove the uniform perfectness of the group for the 3-dimensional case and r ≠ 4.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 3; 381-388
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł