Handbook of Pseudo-Riemannian Geometry and Supersymmetry

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pp: 497–557

DOI: 10.4171/079-1/15

Para-pluriharmonic maps and twistor spaces

Matthias Krahe[1]

(1) Frankfurt, Germany

Twistor theory goes back to the 1960s, where twistor methods were introduced by R. Penrose to provide an approach to quantum gravity. The general idea is to translate a problem on a differentiable manifold M endowed with a certain geometric structure to a problem on a complex manifold Z, the twistor space. The purpose of this work is to transfer some of these methods to paracomplex geometry.

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