2012/01/11 by Nguyen Tien Zung, Zung, Nguyen Tien
Mathematics · Physics and Astronomy · #37G05 #53C12 #58A17 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.DS #math.MP #msc:37G05 #msc:53C12 #msc:58A17
paper · pdf · doi:10.48550/arxiv.1201.2219
1st version, 12 pages
arxiv created 2012/01/11 · arxiv updated 2012/01/12
In a paper with Jean-Paul Dufour in 1999 \citeDufourZung-Nambu1999, we gave a classification of linear Nambu structures, and obtained linearization results for Nambu structures with a nondegenerate linear part. There was a case left open in \citeDufourZung-Nambu1999, namely the case of smooth linearization of Nambu structures with a Type 1 hyperbolic linear part which satisfies a natural signature condition. In this paper, we will show that such hyperbolic Nambu structures are also smoothly linearizable. We will also give a strong version of the analytic linearization theorem in the analytic case, improving a result obtained in \citeDufourZung-Nambu1999.