2007/01/02 by Maria A. Agrotis, Agrotis, Maria A., Pantelis A. Damianou +1
Mathematics · Physics and Astronomy · #37J35 #53D17 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:37J35 #msc:53D17
paper · pdf · doi:10.48550/arxiv.math/0701057
16 pages, 29 references, to appear in Differential Geometry and its applications
arxiv created 2007/01/02 · arxiv updated 2009/12/01
The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of integrable systems. We illustrate in detail the case of the Toda lattice both in Flaschka and natural coordinates.