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

Yavuz Nutku
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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.

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Yavuz Nutku. 2007-02-27. By Magri's Theorem, Self-Dual Gravity is Completely Integrable. https://doi.org/10.3842/sigma.2007.034

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