تقرير
Singularities of Generic Line Congruences
العنوان: | Singularities of Generic Line Congruences |
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المؤلفون: | Craizer, Marcos, Garcia, Ronaldo Alves |
سنة النشر: | 2021 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Differential Geometry, 53A55, 57R45, 53A20 |
الوصف: | Line congruences are $2$-dimensional families of lines in $3$-space. The singularities that appear in generic line congruences are folds, cusps and swallowtails. In this paper we give a geometric description of these singularities. The main tool used is the existence of an equiaffine pair defining a generic line congruence. Comment: 23 pages, 5 figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2108.06525 |
رقم الأكسشن: | edsarx.2108.06525 |
قاعدة البيانات: | arXiv |
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