Singularities of Generic Line Congruences
Differential Geometry
2021-10-26 v2
Abstract
Line congruences are -dimensional families of lines in -space. The singularities that appear in generic line congruences are folds, cusps and swallowtails. In this paper we give a geometric description of these singularities. The main tool used is the existence of an equiaffine pair defining a generic line congruence.
Cite
@article{arxiv.2108.06525,
title = {Singularities of Generic Line Congruences},
author = {Marcos Craizer and Ronaldo Alves Garcia},
journal= {arXiv preprint arXiv:2108.06525},
year = {2021}
}
Comments
23 pages, 5 figures