Generic distance-squared mappings on plane curves

被引：0
|
作者：
Ichiki, Shunsuke [1 ]
机构：
[1] Tokyo Inst Technol, Sch Comp, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
HIROSHIMA MATHEMATICAL JOURNAL | 2021年 / 51卷 / 01期
关键词：
distance-squared mapping; stability; immersion with normal crossings; curvature;
D O I：
10.32917/h2020010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. In this paper, compositions of a given plane curve and generic distance-squared mappings on the plane into the plane are investigated from the viewpoint of stability.
引用
收藏
页码：65 / 76
页数：12
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