A Frobenius theorem for corank-1 continuous distributions in dimensions two and three

DOI10.1142/S0129167X16500610zbMath1358.37048arXiv1411.5896OpenAlexW2963152897MaRDI QIDQ2816971

Sina Türeli, Khadim War, Stefano Luzzatto

Publication date: 26 August 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5896

zbMATH Keywords

ordinary differential equationsintegrabilitypartial differential equationsFrobenius theoremcontinuous tangent sub-bundles

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (4)

Existence and uniqueness theorems for the Pfaff equation with continuous coefficients ⋮ Integrability of dominated decompositions on three-dimensional manifolds ⋮ Integrability of continuous bundles ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients

Cites Work

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• FOLIATIONS ASSOCIATED WITH PFAFFIAN SYSTEMS
• GENERALIZATION OF THE FROBENIUS THEOREM ON INVOLUTIVITY
• Invariant manifolds

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