A. Pereira do Vale & M. R. Pinto (ed.),
Proceedings of the 1st International Meeting on Geometry and Topology.
Proceedings of the conference held in Braga, September 11-13, 1997.
Universidade do Minho, Portugal

Bi-Hamiltonian manifolds - an application to the relativistic Toda lattice and a generalization to the Jacobi manifolds

J. M. Nunes da Costa

Departamento de Matematica, Universidade de Coimbra, Apartado 3008, 3000 Coimbra, Portugal jmcosta@mat.uc.pt

Abstract: An application of bi-Hamiltonian manifolds: using mastersymmetries, we generate a hierarchy of Poisson tensors that provides a multi-Hamiltonian formulation for the relativistic Toda lattice.

A generalization of bi-Hamiltonian manifolds: we extend the notion of compatible Poisson tensors to the Jacobi structures.

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