标题： 零凯勒结构，对称性和可积性 显示英文标题

标题： Null Kähler structures, Symmetries and Integrability

摘要： 我们回顾作为普莱班斯基天体方程对称约化的可积系统及其推广。 我们还表明，所有具有对称性的四维零Kahler-Einstein（或类型N超天体）度量都可以从分散无色Kadomtsev-Petviashvili方程的变系数推广的解中找到。 显示英文摘要

摘要： 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.