Harmonic morphisms from three-dimensional Euclidean and spherical space forms
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
P. Baird and the second author studied harmonic morphisms from a three-dimensional simply-connected space form to a surface and obtained a complete local and global classification of them. In this paper, we obtain a description of all harmonic morphisms from any three-dimensional Euclidean and spherical space form to a surface, namely that any such harmonic morphism is the composition of a standard harmonic morphism and a weakly conformal map. We list the standard harmonic morphisms.
Keywords
Cite
@article{arxiv.dg-ga/9612013,
title = {Harmonic morphisms from three-dimensional Euclidean and spherical space forms},
author = {M. T. Mustafa and J. C. Wood},
journal= {arXiv preprint arXiv:dg-ga/9612013},
year = {2008}
}
Comments
LaTeX 2e, 15 Pages, University of Leeds and ICTP preprint