Null Kähler structures, Symmetries and Integrability

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We review the integrable systems which arise as symmetry reductions of Plebanski's heavenly equations, and their generalisations. We also show that all four-dimensional null Kahler-Einstein (or type N hyper-heavenly) metrics with symmetry can be found from solutions to a variable coefficient generalisation of the dispersionless Kadomtsev-Petviashvili equation.
Text of a talk given at the conference on "Mathematical Physics, General Relativity and Cosmology", held in honour of Professor Jerzy Plebanski. To appear in the Proceedings

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General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/99694

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0310005
 http://arxiv.org/abs/gr-qc/0310005
 Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski, ed. Hugo Garcia-Compean, Bogdan Mielnik, Merced Montesinos & Maciej Przanowski. World Scientific 2006.

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arXiv