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arXiv · 2101.11879

Proper biharmonic maps and $(2,1)$-harmonic morphisms from some wild geometries

Elsa Ghandour·Sigmundur Gudmundsson
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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.

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Elsa Ghandour, Sigmundur Gudmundsson. 2021-01-28. Proper biharmonic maps and $(2,1)$-harmonic morphisms from some wild geometries. https://arxiv.org/abs/2101.11879

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