Pluriharmonic Morphisms

Details Pluriharmonic Morphisms Pluriharmonic Morphisms

1996-08-10

arxiv.org/abs/dg-ga/9608004v1

Mathematics

Differential Geometry

AMS-Latex v1.2b, 11 pages with 1 figure

Scientific paper

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 $\pm$holomorphic maps. Then we characterise pluriharmonic morphisms between Hermitian manifolds. We make a special study of the situation where the target is K{\"a}hler, pluriharmonic morphisms being particularly well understood for this case.

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