A gentle (without chopping) approach to the full Kostant-Toda lattice.
Transverse Structures to orbits in algebric groups
Lie point Symmetries of Hamiltonian Systems
Integrable hierarchies and the modular class
It is well-known that the Poisson-Nijenhuis manifolds, introduced by Kosmann-Schwarzbach and Magri form the appropriate setting for studying many classical integrable hierarchies. In order to define the hierarchy, one usually specifies in addition to the Poisson-Nijenhuis manifold a bi-hamiltonian vector field. In this paper we show that to every Poisson-Nijenhuis manifold one can associate a canonical vector field (no extra choices are involved!) which under an appropriate assumption defines an...
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