GENERIC LINEAR PERTURBATIONS

被引：3

作者：

Ichiki, Shunsuke ^{[1
]}

机构：

[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Yokohama, Kanagawa 2408501, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 11期

关键词：

Generic linear perturbation; generic projection; stability; modular submanifold; transversality; DISTANCE-SQUARED MAPPINGS; QUADRATIC POLYNOMIAL-MAPPINGS; PLANE; SINGULARITIES; PROJECTIONS;

D O I：

10.1090/proc/14094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 of R-m into R-l yield a transverse mapping with respect to a given modular submanifold. Moreover, applications of this result are given.

引用

页码：4981 / 4991

页数：11

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