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Commuting foliations

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Abstract

The aim of this paper is to extend the notion of commutativity of vector fields to the category of singular foliations using Nambu structures, i.e., integrable multi-vector fields. We will classify the relationship between singular foliations and Nambu structures and show some basic results about commuting Nambu structures.

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Authors and Affiliations

  1. Institut de Mathematiques de Toulouse UMR5219, Universite Toulouse 3, Toulouse, France

    Nguyen Tien Zung & Truong Hong Minh

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  1. Nguyen Tien Zung
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  2. Truong Hong Minh
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Correspondence to Nguyen Tien Zung.

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Dedicated to Alain Chenciner on the occasion of his 70th birthday

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Zung, N.T., Minh, T.H. Commuting foliations. Regul. Chaot. Dyn. 18, 608–622 (2013). https://doi.org/10.1134/S156035471306004X

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  • DOI: https://doi.org/10.1134/S156035471306004X

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