Singularities of 3-parameter line congruences in ${\mathbb{R}}^4$

Abstract

In this paper, we give the generic classification of the singularities of 3-parameter line congruences in ${\mathbb{R}}^4$. We also classify the generic singularities of Blaschke (affine) normal congruences.

arXiv comment22 pages and 1 figure

References in corpus (2)

• Singular Improper Affine Spheres from a given Lagrangian Submanifold
• Affine curvature lines of surfaces in 3-space