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Null Kähler structures, Symmetries and Integrability

Maciej Dunajski·Maciej Przanowski
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Abstract

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.

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Maciej Dunajski, Maciej Przanowski. 2006-06-21. Null Kähler structures, Symmetries and Integrability. https://arxiv.org/abs/gr-qc/0310005

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