Distributions and Legendrian foliations in dimension 3

2024/06/25 by Luza, Maycol Falla, Rosas, Rudy
#13N15 #32M25 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.17913

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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