Para-pluriharmonic maps and twistor spaces

Abstract

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.