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Pluriharmonic Morphisms

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

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Eric Loubeau. 1996-08-10. Pluriharmonic Morphisms. https://arxiv.org/abs/dg-ga/9608004

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