Singularities of generic line congruences
Author:
Affiliation:
1. Departamento de Matemática, Pontifical Catholic University of Rio de Janeiro
2. Instituto de Matemática e Estatística, Federal University of Goiás
Publisher
Mathematical Society of Japan (Project Euclid)
Subject
General Mathematics
Reference14 articles.
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2. [2] M. Barajas, M. Craizer and R. A. Garcia, Lines of affine principal curvafures of surfaces in 3-space, Results Math., 75 (2020), no. 1, paper no. 32.
3. [3] J. W. Bruce and D. L. Fidal, On binary differential equations and umbilics, Proc. Roy. Soc. Edinburgh Sect. A, 111 (1989), 147–168.
4. [4] J. W. Bruce and P. J. Giblin, Curves and Singularities, Cambridge Univ. Press, 1984.
5. [5] M. Craizer and R. A. Garcia, Centroaffine duality and Loewner's conjecture, arXiv:1811.07331v8.
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Dual relations between line congruences in $$\mathbb {R}^3$$ and surfaces in $$\mathbb {R}^4$$;Research in the Mathematical Sciences;2024-04-09
2. Binary Differential Equations Associated to Congruences of Lines in Euclidean 3-Space;Bulletin of the Brazilian Mathematical Society, New Series;2023-10-30
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