The modular hierarchy of the Toda lattice

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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.
16 pages, 29 references, to appear in Differential Geometry and its applications

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Differential Geometry, Mathematical Physics, 53D17; 37J35

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http://salesiana.dossiersoluciones.com/handle/123456789/120967

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701057
 http://arxiv.org/abs/math/0701057

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arXiv