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math.DG2000★ 143 cited
Einstein-Weyl geometry, the dKP equation and twistor theory
Maciej Dunajski, Lionel J. Mason, Paul Tod
It is shown that Einstein-Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev-Petviashvili (dKP) equation as a special case: If an EW structure admits a cons…
math.DG2000★ 92 cited
Hyper-K{ä}hler Hierarchies and their twistor theory
Maciej Dunajski, Lionel J. Mason
A twistor construction of the hierarchy associated with the hyper-Kähler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. T…