Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres
dg-ga
2008-02-03 v2 Differential Geometry
Abstract
We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new examples of complex-valued harmonic morphisms from Euclidean spaces and spheres.
Cite
@article{arxiv.dg-ga/9512010,
title = {Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres},
author = {P. Baird and J. C. Wood},
journal= {arXiv preprint arXiv:dg-ga/9512010},
year = {2008}
}
Comments
Minor revision adding example. Latex 2.09. 14 pages