Local singularities of chord sets

被引:0
作者
L. P. Stunzhas
机构
[1] Moscow State University,
来源
Mathematical Notes | 2008年 / 83卷
关键词
smooth curves in ; chord set; local singularity; smooth curve; germ of a curve; diffeomorphism; projective invariance;
D O I
暂无
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学科分类号
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 ℝ3; 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:16
相关论文
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  • [2] Takeuchi N.(1974)Stability of Uspekhi Mat. Nauk 29 99-128
  • [3] Mather J. N.(undefined)-mappings: V. Transversality undefined undefined undefined-undefined