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arxiv: nlin/0702055 · v1 · submitted 2007-02-27 · 🌊 nlin.SI

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

classification 🌊 nlin.SI
keywords completelygravityintegrablemagriself-dualtheoremantibi-hamiltonian
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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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