Generic singularities of affine distance functions and plane congruences
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913857629323264 |
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| author | Santos, Igor Chagas |
| author_facet | Santos, Igor Chagas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic singularities of affine distance functions and plane congruences Santos, Igor Chagas Differential Geometry 57R45, 58K25, 53A15 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. |
| title | Generic singularities of affine distance functions and plane congruences |
| topic | Differential Geometry 57R45, 58K25, 53A15 |
| url | https://arxiv.org/abs/2505.18716 |