From Spinor Geometry to Complex General Relativity

Physics – High Energy Physics – High Energy Physics - Theory

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With kind permission from Springer Science and Business Media to use material in the first 5 sections taken from the 1995 Kluw

Scientific paper

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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