Local singularities of chord sets

被引：2
|
作者：
Stunzhas, L. P. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2008年 / 83卷 / 1-2期
关键词：
smooth curves in R-3; chord set; local singularity; smooth curve; germ of a curve; diffeomorphism; projective invariance;
D O I：
10.1134/S0001434608010276
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in R-3; we also present geometric criteria for the chord set to have a given local singularity.
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页码：257 / 273
页数：17
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