Harmonic morphisms from three-dimensional Euclidean and spherical space forms

Details Harmonic morphisms from three-dimensional Euclidean and spherical space forms Harmonic morphisms from three-dimensional Euclidean and spherical space forms

1996-12-18

arxiv.org/abs/dg-ga/9612013v1

Mathematics

Differential Geometry

LaTeX 2e, 15 Pages, University of Leeds and ICTP preprint

Scientific paper

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.

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