A short guide through integration theorems of generalized distributions

DOI10.1016/j.difgeo.2018.07.005zbMath1407.53025arXiv1710.01627OpenAlexW2795755270WikidataQ115355067 ScholiaQ115355067MaRDI QIDQ1792428

Sylvain Lavau

Publication date: 11 October 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01627

zbMATH Keywords

control theorysingular foliationsgeneralized distributions

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Foliations (differential geometric aspects) (53C12) Vector distributions (subbundles of the tangent bundles) (58A30) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

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Cites Work

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• Smooth distributions are finitely generated
• Control theory from the geometric viewpoint.
• The mathematics of Frobenius in context. A journey through 18th to 20th century mathematics
• Linear differential systems with singularities and an application to transitive Lie algebras
• An integration theorem for completely integrable system with singularities
• Stefan–Sussmann singular foliations, singular subalgebroids and their associated sheaves
• The holonomy groupoid of a singular foliation
• Integrability of Systems of Vectorfields
• Accessibility and foliations with singularities
• Erratum: Controlabilite des Systemes Non Lineaires
• Accessible Sets, Orbits, and Foliations with Singularities
• Orbits of Families of Vector Fields and Integrability of Distributions
• Contrôlabilité des Systèmes non Linéaires
• Orbits of families of vector fields and integrability of systems with singularities

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