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

2021/02/15 by Elsa Ghandour, Ghandour, Elsa, Sigmundur Gudmundsson +1
Mathematics · Physics and Astronomy · #31B30 #53C43 #58E20 #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2102.07547

openalex publication_date 2021/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Harmonic morphisms from the classical non-compact semisimple Lie groups
• Harmonic morphisms from the classical compact semisimple Lie groups
• Proper r-harmonic functions from Riemannian manifolds
• Explicit p-harmonic functions on the real Grassmannians
• Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians