Singularities of Generic Line Congruences

التفاصيل البيبلوغرافية
العنوان: Singularities of Generic Line Congruences
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