4 citations · 6 across the 4 of their papers we have counts for
4 papers
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 and the generic singularities of affine normal plane congruences. We also st…
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 , where is a smooth map and $ξ:…
Equiaffine structure on frontals
Igor Chagas Santos
In this paper, we generalize the idea of equiaffine structure to the case of frontals and we define the Blaschke vector field of a frontal. We also investigate some necessary and s…
Singularities of 3-parameter line congruences in
Débora Lopes, Maria Aparecida Soares Ruas, Igor Chagas Santos
In this paper, we give the generic classification of the singularities of 3-parameter line congruences in . We also classify the generic singularities of Blaschke (af…