Maximal domains of radial harmonic functions

DOI10.1007/s00009-023-02309-1zbMath1525.53047arXiv2205.13829MaRDI QIDQ6040018

Jeong Hyeong Park, Peter B. Gilkey

Publication date: 24 May 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.13829

zbMATH Keywords

volume density functionrank-one symmetric spacesharmonic spacesmaximal domainsradial harmonic function

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Differential geometry of symmetric spaces (53C35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

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• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
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• A class of nonsymmetric harmonic Riemannian spaces
• THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS
• Analytic‐hypoelliptic partial differential equations of principal type
• GENERAL SOLUTIONS OF LAPLACE'S EQUATION IN A SIMPLY HARMONIC MANIFOLD

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