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arXiv · 2608.03905

New Complex-Valued Harmonic Morphisms via Rational Exponents

Sigmundur Gudmundsson
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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.

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Sigmundur Gudmundsson. 2026-08-04. New Complex-Valued Harmonic Morphisms via Rational Exponents. https://arxiv.org/abs/2608.03905

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