Geodesic
By Magri's Theorem, Self-Dual Gravity is Completely Integrable
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: self-dual gravity; Plebanski equation; Magri's theorem. 
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Yavuz Nutku. By Magri's Theorem, Self-Dual Gravity is Completely Integrable. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a33/

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