Work

Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces

Year: 1994

Type: preprint

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 ${\bf R}^n$ for each $n>4$ which do not arise from a Kähler structure; it is known that such examples do not exist for $n \leq 4$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.dg-ga/9410005

Authors: Baird, P., Wood, J. C.

Institutions: Université de Bretagne Occidentale, Université de Bretagne Occidentale, University of Leeds

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952541055

Cites: 9

Cited by:

Related to: 10