Natural connections for semi-Hamiltonian systems: The case of the $\epsilon$-system
Exactly Solvable and Integrable Systems
2011-05-20 v3 Differential Geometry
Abstract
Given a semi-Hamiltonian system, we construct an -manifold with a connection satisfying a suitable compatibility condition with the product. We exemplify this procedure in the case of the so-called -system. The corresponding connection turns out to be flat, and the flat coordinates give rise to additional chains of commuting flows
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Cite
@article{arxiv.0912.3697,
title = {Natural connections for semi-Hamiltonian systems: The case of the $\epsilon$-system},
author = {Paolo Lorenzoni and Marco Pedroni},
journal= {arXiv preprint arXiv:0912.3697},
year = {2011}
}
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24 pages