Isomorphisms between diffeomorphism groups
Isomorphisms between diffeomorphism groups
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微分同胚群之间的同构
DOI：
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发表时间：
1982
影响因子：
0.9
通讯作者：
R. Filipkiewicz
中科院分区：
文献类型：
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作者：
R. Filipkiewicz
本文证明了两个有限维无边界仿紧流形的Ck同构群之间的任何群同构都是由流形之间的一个Ck同构诱导的（1 ≤ k ≤ ∞）。
Abstract It is shown that any group isomorphism between the Ck diffeomorphism groups of two finite-dimensional, boundaryless paracompact manifolds is induced by a Ck diffeomorphism between the manifolds (1 ≤ k ≤ ∞).