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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 034, 6 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.034
(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
References:
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.
Received: September 8, 2006; in final form February 8, 2007; Published online February 27, 2007
Bibliographic databases:
Document Type: Article
MSC: 83C20; 83C15; 37K10
Language: English
Citation: Yavuz Nutku, “By Magri's Theorem, Self-Dual Gravity is Completely Integrable”, SIGMA, 3 (2007), 034, 6 pp.
Citation in format AMSBIB
\Bibitem{Nut07}
\by Yavuz Nutku
\paper By Magri's Theorem, Self-Dual Gravity is Completely Integrable
\jour SIGMA
\yr 2007
\vol 3
\papernumber 034
\totalpages 6
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234941}
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