1996/08/10 by Eric Loubeau, Loubeau, Eric
Mathematics · #32F05 (Primary) 31C10 #53C55 #58E20 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG #msc:31C10 #msc:32F05 #msc:53C55 #msc:58E20
paper · pdf · doi:10.48550/arxiv.dg-ga/9608004
AMS-Latex v1.2b, 11 pages with 1 figure
arxiv created 1996/08/10 · arxiv updated 2009/11/30
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 ±holomorphic maps. Then we characterise pluriharmonic morphisms between Hermitian manifolds. We make a special study of the situation where the target is Kähler, pluriharmonic morphisms being particularly well understood for this case.