Proper biharmonic maps and $(2,1)$-harmonic morphisms from some wild geometries
Differential Geometry
2023-03-14 v2
Abstract
In this work we construct a variety of new complex-valued proper biharmonic maps and (2,1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions to a non-linear system of partial differential equations depending on the geometric data of the manifolds involved.
Keywords
Cite
@article{arxiv.2101.11879,
title = {Proper biharmonic maps and $(2,1)$-harmonic morphisms from some wild geometries},
author = {Elsa Ghandour and Sigmundur Gudmundsson},
journal= {arXiv preprint arXiv:2101.11879},
year = {2023}
}