Generic linear perturbations
Generic linear perturbations
复制标题
一般线性扰动
DOI：
10.1090/proc/14094
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发表时间：
2018
影响因子：
1
通讯作者：
Shunsuke Ichiki
中科院分区：
文献类型：
--
作者：
Shunsuke Ichiki
在他的著名论文《一般投影》中，John Mather证明了几乎所有从向量空间的子流形到子空间的线性投影都是相对于给定模子流形的横向投影。本文对马瑟的结果作了改进。也就是说，我们证明了几乎所有的光滑映射的线性扰动都产生了一个关于给定模子流形的横向映射。并给出了该结果的应用。参考文献
In his celebrated paper Generic projections, John Mather has shown that almost all linear projections from a submanifold of a vector space into a subspace are transverse with respect to a given modular submanifold. In this paper, an improvement of Mather’s result is stated. Namely, we show that almost all linear perturbations of a smooth mapping from a submanifold ofintoyield a transverse mapping with respect to a given modular submanifold. Moreover, applications of this result are given. References