Igor Chagas Santos

most citedLine Congruences on singular surfaces

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math.DG2025

Generic singularities of affine distance functions and plane congruences

Igor Chagas Santos

In this paper, we classify the generic singularities of 2-parameter plane congruences in $R^{4}$ and the generic singularities of affine normal plane congruences. We also st…

math.DG2022★ 1 cited

Line Congruences on singular surfaces

Débora Lopes, Tito Alexandro Medina Tejeda, Maria Aparecida Soares Ruas +1

This paper is a first step in order to extend Kummer's theory for line congruences to the case ${x, ξ}$ , where $x : U \to R^{3}$ is a smooth map and $ξ:…