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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Nutku, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147828
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: By Magri's Theorem, Self-Dual Gravity is Completely Integrable / Y. Nutku // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 13 назв. — англ.

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.