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From Spinor Geometry to Complex General Relativity

Giampiero Esposito
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Abstract

An attempt is made of giving a self-contained (although incomplete) introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, alpha-planes in Minkowski space-time, alpha-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heaven spaces and heavenly equations.

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Giampiero Esposito. 2005-05-23. From Spinor Geometry to Complex General Relativity. https://doi.org/10.1142/s0219887805000752

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