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arXiv · 2102.07547

Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups

Elsa Ghandour·Sigmundur Gudmundsson
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Abstract

We apply the method of eigenfamilies to construct new explicit complex-valued p-harmonic functions on the non-compact classical Lie groups, equipped with their natural semi-Riemannian metrics. We then employ this same approach to manufacture explicit complex-valued harmonic morphisms on these groups.

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Elsa Ghandour, Sigmundur Gudmundsson. 2021-02-15. Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups. https://arxiv.org/abs/2102.07547

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