Distributions and Legendrian foliations in dimension 3
Algebraic Geometry
2024-06-27 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.2406.17913,
title = {Distributions and Legendrian foliations in dimension 3},
author = {Maycol Falla Luza and Rudy Rosas},
journal= {arXiv preprint arXiv:2406.17913},
year = {2024}
}