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abstract twistor ideal abstract twistor space abstract twistor structure Andrew Hodges anti anti-self dual Weyl Cartan structure equations classical groups co-associative 4-planes co-frame complex conjugate components conformal-symmetry-breaking connection one-form coordinate covariant exterior derivative curvature forms defined derivative of Eq diagram calculus differential ideal dual Weyl curvatures Einstein vacuum Equa equation 3.1 evaluation Exceptional hyperKahler reductions Extending half flat Feynman diagram flat metrics David Formanski Geometry of Twistor George Sparling googly half flat metrics hypersurface twistors integration constant Kobak and Swann larger diagrams limit of vanishing massive fields Mathematics metrics David Robinson nilpotent orbits nilpotent variety non-projective null Penrose Przanowski quaternion-Kahler reduction quaternion-Kahler symmetric space questions of sign real solutions RffiC3 Schwarzschild space-time Zoltan self-dual simplest example Solutions of Einstein's Solving space-time Zoltan Perjes spinor tetrad three-parameter set time-direction tion twistor diagrams twistor geometry TWISTOR NEWSLETTER twistor programme twistor surfaces two-form unprimed vacuum field equations vanishing mass variable