Temat: principal G-manifold - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the boundedness of equivariant homeomorphism groups
Autorzy:: Lech, J.
Michalik, I.
Rybicki, T.
Powiązania:: https://bibliotekanauki.pl/articles/255781.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: principal G-manifold
equivariant homeomorphism
uniformly perfect,
bounded
Cr equivariant diffeomorphism
Opis:: Given a principal G-bundle [formula] let HG(M) be the identity component of the group of G-equivariant homeomorphisms on M. The problem of the uniform perfectness and boundedness of HG(M) is studied. It occurs that these properties depend on the structure of H(B), the identity component of the group of homeomorphisms of B, and of B itself. Most of the obtained results still hold in the [formula] category.
Źródło:: Opuscula Mathematica; 2018, 38, 3; 395-408
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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