arXiv Analytics

Sign in

arXiv:2110.10818 [math.DG]AbstractReferencesReviewsResources

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

Débora Lopes, Maria Aparecida Soares Ruas, Igor Chagas Santos

Published 2021-10-20, updated 2021-11-03Version 2

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.

Comments: 22 pages and 1 figure
Categories: math.DG
Subjects: 53A55, 57R45, 53A15
Related articles: Most relevant | Search more
arXiv:2210.14175 [math.DG] (Published 2022-10-25)
Line Congruences on singular surfaces
arXiv:1906.07609 [math.DG] (Published 2019-06-18)
Entropy and codimension bounds for generic singularities
arXiv:1601.02096 [math.DG] (Published 2016-01-09)
Note on generic singularities of planar flat 3-webs

Links

Toolbox