By Magri's Theorem, Self-Dual Gravity is Completely Integrable
Exactly Solvable and Integrable Systems
2008-12-19 v1
Abstract
By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.
Cite
@article{arxiv.nlin/0702055,
title = {By Magri's Theorem, Self-Dual Gravity is Completely Integrable},
author = {Yavuz Nutku},
journal= {arXiv preprint arXiv:nlin/0702055},
year = {2008}
}
Comments
This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/