On the structure of the group of equivariant diffeomorphisms

On the structure of the group of equivariant diffeomorphisms
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关于等变微分同胚群的结构

DOI:
10.1016/0040-9383(77)90009-x
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发表时间:
1977
期刊:
影响因子:
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通讯作者:
A. Banyaga
A. Banyaga
中科院分区:
--
文献类型:
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作者:
A. Banyaga

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设Mm是维数为m的光滑闭连通流形,它平滑自由地作用于环面T ‘ ’上,设Di& (m ‘)是与T ’ '交换作用的Mm的cl -微分同态群中的恒等分量。对于,1 sks 2, k# m-n+ 1,我们计算了Diff $~(Mm) O.$ 1的不相关群。主要结果的记号和说明
LET Mm BE a smooth closed and connected manifold of dimension m on which acts smoothly and freely the torus T”, and let Di& (M”), be the identity component in the group of CL-diffeomorphisms of Mm which commute with the action of T”. For, 1 sks 2, k# m-n+ 1, we compute the abelianised group of Diff $~(Mm) O.$ l. NOTATIONS AND STATEMENT OF THE MAIN RESULT