Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type

被引：2

作者：

Gudmundsson, Sigmundur ^{[1
]}

Siffert, Anna ^{[2
]}

Sobak, Marko ^{[2
]}

机构：

[1] Lund Univ, Fac Sci, Math, Box 118, S-221 Lund, Sweden

[2] Math Inst, Einsteinstr 62, D-48149 Munster, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 164卷

关键词：

p-Harmonic functions; Symmetric spaces; Lie groups of Iwasawa type;

D O I：

10.1016/j.geomphys.2021.104205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one symmetric spaces of non-compact type, Damek-Ricci spaces, rank-one Einstein solvmanifolds and Carnot spaces. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：16