The pseudo-isotopy theorem for simply connected differentiable manifolds
The pseudo-isotopy theorem for simply connected differentiable manifolds
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简单连通微分流形的伪同位素定理
DOI：
10.1007/bfb0068612
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发表时间：
1971
期刊：
影响因子：
--
通讯作者：
J. Cerf
中科院分区：
文献类型：
--
作者：
J. Cerf
1. 设V为紧可微流形定理的表述。V的伪同位素群是“Diff”（V x I）的子群，由保持V x {oJ点固定的“差同形”组成。这个群以自然的方式作用于Dirf V （V= V x 1）。在这种作用下等价的两个V的微分同构称为假同位素。
1. Statement of" the theorem Let V be a compact differentiable manifold. The group of pseudo-isotopies of V is the subgroup of" Diff"(V x I) consisting of" diffeomorphisms which keep V x {oJ pointwise fixed. This group acts in a natural way on Dirf V (V= V x 1). Two diffeomorphisms of V which are equivalent under that action are said to be pseudoisotopic.