From Spinor Geometry to Complex General Relativity
High Energy Physics - Theory
2015-06-26 v2
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.
Cite
@article{arxiv.hep-th/0504089,
title = {From Spinor Geometry to Complex General Relativity},
author = {Giampiero Esposito},
journal= {arXiv preprint arXiv:hep-th/0504089},
year = {2015}
}
Comments
With kind permission from Springer Science and Business Media to use material in the first 5 sections taken from the 1995 Kluwer book "Complex General Relativity" by G. Esposito. In the revised version, 11 References have been added