TWISTOR SPACES, PLURIHARMONIC MAPS AND HARMONIC MORPHISMS

摘要

The application of twistor methods to construct harmonic morphisms has proved to be a fruitful approach in the 4-dimensional case, where a variety of examples and, in some cases, even a complete classification of harmonic morphisms have been found. In this paper, we generalize this construction to obtain higher-dimensional analogues of these maps. We also prove several results on twistor lifts of pluriharmonic and (1, 1)-geodesic maps.