Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds
Differential Geometry
2021-04-05 v2
Abstract
We introduce the natural notion of (p,q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.
Cite
@article{arxiv.2006.01798,
title = {Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds},
author = {Elsa Ghandour and Sigmundur Gudmundsson},
journal= {arXiv preprint arXiv:2006.01798},
year = {2021}
}