Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces
Abstract
Description
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 ${\bf R}^n$ for each $n>4$ which do not arise from a Kähler structure; it is known that such examples do not exist for $n \leq 4$.
34 pages, preprint, University of Leeds, 94-13
34 pages, preprint, University of Leeds, 94-13