Pluriharmonic Morphisms

Abstract

Pluriharmonic maps form an important class of harmonic maps which includes holomorphic maps. We study their morphisms, in particular the inter-relationships between (1,1)-geodesic, pluriharmonic and maps. Then we characterise pluriharmonic morphisms between Hermitian manifolds. We make a special study of the situation where the target is K\"ahler, pluriharmonic morphisms being particularly well understood for this case.

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