Jordan homomorphisms and harmonic mappings
Algebraic Geometry
2024-02-13 v1 Rings and Algebras
Abstract
We show that each Jordan homomorphism of rings gives rise to a harmonic mapping of one connected component of the projective line over into the projective line over . If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over .
Keywords
Cite
@article{arxiv.1304.0178,
title = {Jordan homomorphisms and harmonic mappings},
author = {Andrea Blunck and Hans Havlicek},
journal= {arXiv preprint arXiv:1304.0178},
year = {2024}
}