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Singularities of 3-parameter line congruences in $\mathbb {R}^{4}$![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20230428012804151-0028:S0308210522000415:S0308210522000415_inline1.png)
Published online by Cambridge University Press: 21 June 2022
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 normal and Blaschke (affine) normal congruences.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 3 , June 2023 , pp. 1045 - 1070
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
References
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