Integrable hierarchies and the modular class

Details Integrable hierarchies and the modular class Integrable hierarchies and the modular class

2006-07-30

arxiv.org/abs/math/0607784v2

Mathematics

Differential Geometry

26 pages, 27 references. One major change: the assumption on non-degeneracy of the Poisson tensor on a PN manifold was dropped

Scientific paper

We observe that the modular class of a Poisson-Nijhenhuis manifold has a
canonical representative and that, under a cohomological assumption, this
vector field is bi-hamiltonian. In many examples the associated hierarchy of
flows reproduces classical integrable hierarchies.

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