Abstract
Line congruences are 2-dimensional families of lines in 3-space. The singularities that appear in generic line congruences are folds, cuspidal edges 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.
Funding Statement
The authors want to thank CNPq, PRONEX/ CNPq/ FAPEG 2017 10 26 7000 508, and CAPES (Finance Code 001) for financial support during the preparation of this manuscript.
Citation
Marcos CRAIZER. Ronaldo GARCIA. "Singularities of generic line congruences." J. Math. Soc. Japan 75 (2) 629 - 653, April, 2023. https://doi.org/10.2969/jmsj/88348834
Information
