Distributions and Legendrian foliations in dimension 3
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913405447700480 |
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| author | Luza, Maycol Falla Rosas, Rudy |
| author_facet | Luza, Maycol Falla Rosas, Rudy |
| contents | We study the field of rational first integrals of distributions. We show that for a distribution on 3 dimensional manifolds there exists a tangent vector field with the same field of first integrals. We also show a similar result for integrable distributions in any dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17913 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distributions and Legendrian foliations in dimension 3 Luza, Maycol Falla Rosas, Rudy Algebraic Geometry Complex Variables 32M25, 13N15 We study the field of rational first integrals of distributions. We show that for a distribution on 3 dimensional manifolds there exists a tangent vector field with the same field of first integrals. We also show a similar result for integrable distributions in any dimension. |
| title | Distributions and Legendrian foliations in dimension 3 |
| topic | Algebraic Geometry Complex Variables 32M25, 13N15 |
| url | https://arxiv.org/abs/2406.17913 |