2011/03/24 by Klaus Bering, Bering, Klaus
Mathematics · Physics and Astronomy · #53D17 #53D99 #58A10 #70G10 #70G45 #70H50 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.SG #msc:53D17 #msc:53D99 #msc:58A10 #msc:70G10 #msc:70G45 #msc:70H50
paper · pdf · doi:10.48550/arxiv.1103.4867
21 pages, LaTeX. v2: Changed grant number
arxiv created 2012/07/31 · arxiv updated 2012/08/02
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e., given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein's splitting principle for Poisson manifolds.