New results on the linearization of Nambu structures

Details New results on the linearization of Nambu structures New results on the linearization of Nambu structures

2012-01-11

arxiv.org/abs/1201.2219v1

Mathematics

Differential Geometry

1st version, 12 pages

Scientific paper

In a paper with Jean-Paul Dufour in 1999 \cite{DufourZung-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 \cite{DufourZung-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 \cite{DufourZung-Nambu1999}.

Affiliated with

Also associated with

No associations

Rating

New results on the linearization of Nambu structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New results on the linearization of Nambu structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New results on the linearization of Nambu structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603207