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blaschke normal congruences

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Singularities of 3-parameter line congruences in $\mathbb {R}^{4}$
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Débora Lopes, Maria Aparecida Soares Ruas, Igor Chagas Santos
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 3 / June 2023

Published online by Cambridge University Press:

21 June 2022, pp. 1045-1070

Print publication:

June 2023
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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 normal and Blaschke (affine) normal congruences.