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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2007 Volume 3, 034, 6 pp. (Mi sigma160)
By Magri's Theorem, Self-Dual Gravity is Completely Integrable

Yavuz Nutku

Feza Gürsey Institute, P. O. Box 6, Çengelköy, Istanbul, 81220 Turkey

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.

Keywords: self-dual gravity; Plebanski equation; Magri's theorem.

MSC: 83C20; 83C15; 37K10

Received: September 8, 2006; in final form February 8, 2007; Published online February 27, 2007

Language: English

DOI: 10.3842/SIGMA.2007.034



Bibliographic databases:
ArXiv: nlin.SI/0702055

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