English

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

Differential Geometry 2023-03-12 v1

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.

Keywords

Cite

@article{arxiv.2102.07547,
  title  = {Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups},
  author = {Elsa Ghandour and Sigmundur Gudmundsson},
  journal= {arXiv preprint arXiv:2102.07547},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2007.14819