Lorentzian reality structure on twistor space
= Lorentzian reality structure on twistor space
{c}
Real compactified Minkowski points are the two-dimensional <totally isotropic subspaces> for the signature-$(2,2)$ <twistor Hermitian form>. In a graph chart this is the usual Hermitian reality condition on $x^{AA'}$. Their <twistor lines> lie in <projective null twistor space>. On the <Klein quadric> the same real form is the projectivized null cone of a real quadratic form of signature $(2,4)$.