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arXiv · 2505.18716

Generic singularities of affine distance functions and plane congruences

Igor Chagas Santos
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Abstract

In this paper, we classify the generic singularities of 2-parameter plane congruences in $\mathbb{R^4}$ and the generic singularities of affine normal plane congruences. We also study the generic singularities of the family of affine distance functions.

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Igor Chagas Santos. 2025-05-24. Generic singularities of affine distance functions and plane congruences. https://arxiv.org/abs/2505.18716

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