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Linearization of Nambu Structures

1997/07/10 by J. P. Dufour, Dufour, Jean Paul, Nguyen Tien Zung +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.dg-ga/9707006

openalex publication_date 1997/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify linear Nambu structures (which are generalized Poisson structures in Hamiltonian dynamics and which give rise to integrable differential forms and singular foliations), then give a linearization for Nambu structures anf integrable differential forms near a nondegenerate singular point.

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