Second-order PDEs in four dimensions with half-flat conformal structure

We study second-order partial differential equations (PDEs) in four dimensions for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solution. We prove that this requirement implies the Monge–Ampère property. Since...

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Bibliographic Details

Main Authors:	Sobhi Berjawi, Evgeny Ferapontov, Boris Kruglikov, Vladimir Novikov
Format:	Default Article
Published:	2020
Subjects:	Second-order partial differential equation Characteristic variety Half-flatness Dispersionless Lax pair Monge-Ampère property Heavenly type equation
Online Access:	https://hdl.handle.net/2134/11473341.v1
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