Distributions and Legendrian foliations in dimension 3

Bulletin des Sciences Mathématiques 2026 Open access

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Authors: Maycol Falla Luza, Rudy Rosas
DOI: 10.1016/j.bulsci.2026.103849
Cited by: 0
References: 5

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.

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Geometric Analysis and Curvature Flows Mathematical Dynamics and Fractals

Publication details

Journal / source
Bulletin des Sciences Mathématiques
Publisher
Elsevier BV
Volume
210
Pages
103849–103849
Publication date
5 May 2026
Language
EN