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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.
Received: September 8, 2006; in final form February 8, 2007; Published online February 27, 2007
Citation:
Yavuz Nutku, “By Magri's Theorem, Self-Dual Gravity is Completely Integrable”, SIGMA, 3 (2007), 034, 6 pp.
Linking options:
https://www.mathnet.ru/eng/sigma160 https://www.mathnet.ru/eng/sigma/v3/p34
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Statistics & downloads: |
Abstract page: | 147 | Full-text PDF : | 45 | References: | 30 |
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