Article ID Journal Published Year Pages File Type
4606470 Differential Geometry and its Applications 2007 12 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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