Pluriharmonic Morphisms
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Pluriharmonic maps form an important class of harmonic maps which includes holomorphic maps. We study their morphisms, in particular the inter-relationships between -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 K{\"a}hler, pluriharmonic morphisms being particularly well understood for this case.
Cite
@article{arxiv.dg-ga/9608004,
title = {Pluriharmonic Morphisms},
author = {Eric Loubeau},
journal= {arXiv preprint arXiv:dg-ga/9608004},
year = {2008}
}
Comments
AMS-Latex v1.2b, 11 pages with 1 figure