Anti-self-dual four–manifolds with a parallel real spinor

Anti-self-dual metrics in the (++ --) signature that admit a covariantly constant real spinor are studied. It is shown that finding such metrics reduces to solving a fourth-order integrable partial differential equation (PDE), and some examples are given. The corresponding twistor space is character...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2002-05, Vol.458 (2021), p.1205-1222
1. Verfasser:	Dunajski, Maciej
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic synthetic distinction Coordinate systems Curvature Differential Geometry Geometry Integrable Systems Mathematical manifolds Mathematical vectors Scalars Signatures Symmetry Tensors Twistor Theory
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