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

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.

arXiv commentarXiv admin note: text overlap with arXiv:2007.14819