New Complex-Valued Hamonic Morphisms via Rational Exponents
Differential Geometry
2026-08-04 v1
Abstract
The method of complex-valued eigenfamilies has been used to solve difficult non-linear problems in differential geometry. The purpose of this note is to generalise the construction method from the use of polynomial solutions to those obtained by rational exponents. This gives many new solutions to the problem under investigation.
Cite
@article{arxiv.2608.03905,
title = {New Complex-Valued Hamonic Morphisms via Rational Exponents},
author = {Sigmundur Gudmundsson},
journal= {arXiv preprint arXiv:2608.03905},
year = {2026}
}