On the rigidity theorem for harmonic functions in Kähler metric of Bergman type

DOI10.1007/S11425-010-0040-8zbMath1193.31006OpenAlexW1967467723MaRDI QIDQ973748

DongHuan Wei, Song-Ying Li

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0040-8

zbMATH Keywords

pluriharmonic functionLaplace-Beltrami operators\(u\)-harmonic function

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (3)

On the rigidity and boundary regularity for Bakry-Emery-Kohn harmonic functions in Bergman metric on the unit ball in 𝐶ⁿ ⋮ Graham type theorem on classical bounded symmetric domains ⋮ On the asymptotic formula for the solution of degenerate elliptic partial differential equations

Cites Work

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• A zeta function associated to the sub-Laplacian on the unit sphere in \(\mathbb{C}^N\)
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• On the holomorphicity of proper harmonic maps between unit balls with the Bergman metrics
• On proper harmonic maps between strictly pseudoconvex domains with Kähler metrics of Bergman type
• The dirichlet problem for the bezgman laplacian. II
• Boundary behavior of harmonic functions in metrics of Bergman type on the polydisc

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