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.
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