Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces
dg-ga
2008-02-03 v2 Differential Geometry
Abstract
We construct new complex-valued harmonic morphisms from Euclidean spaces from functions which are holomorphic with respect to Hermitian structures. In particular, we give the first global examples of complex-valued harmonic morphisms from for each which do not arise from a K\"ahler structure; it is known that such examples do not exist for .
Cite
@article{arxiv.dg-ga/9410005,
title = {Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces},
author = {P. Baird and J. C. Wood},
journal= {arXiv preprint arXiv:dg-ga/9410005},
year = {2008}
}
Comments
34 pages, preprint, University of Leeds, 94-13