English

Generic singularities of affine distance functions and plane congruences

Differential Geometry 2025-05-27 v1

Abstract

In this paper, we classify the generic singularities of 2-parameter plane congruences in R4\mathbb{R^4} and the generic singularities of affine normal plane congruences. We also study the generic singularities of the family of affine distance functions.

Keywords

Cite

@article{arxiv.2505.18716,
  title  = {Generic singularities of affine distance functions and plane congruences},
  author = {Igor Chagas Santos},
  journal= {arXiv preprint arXiv:2505.18716},
  year   = {2025}
}