This research classifies generic singularities of 2-parameter plane congruences in R^4, suggesting broader implications for affine distance functions.
In this paper, we classify the generic singularities of 2-parameter plane congruences in R⁴ 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) studied this question.
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