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arXiv · 2406.17913

Distributions and Legendrian foliations in dimension 3

Maycol Falla Luza·Rudy Rosas
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Abstract

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.

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Maycol Falla Luza, Rudy Rosas. 2024-06-25. Distributions and Legendrian foliations in dimension 3. https://arxiv.org/abs/2406.17913

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