By Magri's Theorem, Self-Dual Gravity is Completely Integrable

Details By Magri's Theorem, Self-Dual Gravity is Completely Integrable By Magri's Theorem, Self-Dual Gravity is Completely Integrable

2007-02-27

arxiv.org/abs/nlin/0702055v1

SIGMA 3:034,2007

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portuga

Scientific paper

10.3842/SIGMA.2007.034

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.

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