English

Singularities of 3-parameter line congruences in $\mathbb{R}^4$

Differential Geometry 2023-08-23 v2

Abstract

In this paper, we give the generic classification of the singularities of 3-parameter line congruences in R4\mathbb{R}^4. We also classify the generic singularities of Blaschke (affine) normal congruences.

Keywords

Cite

@article{arxiv.2110.10818,
  title  = {Singularities of 3-parameter line congruences in $\mathbb{R}^4$},
  author = {Débora Lopes and Maria Aparecida Soares Ruas and Igor Chagas Santos},
  journal= {arXiv preprint arXiv:2110.10818},
  year   = {2023}
}

Comments

22 pages and 1 figure