Variation formulas for \(L_{1}\)-principal functions and application to simultaneous uniformization problem

DOI10.1307/MMJ/1310667977zbMath1235.30028OpenAlexW2016016253MaRDI QIDQ2276079

Sachiko Hamano

Publication date: 16 August 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1310667977

zbMATH Keywords

Green functionpseudoconvex domainRiemann domain

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Domains of holomorphy (32D05) Harmonic functions on Riemann surfaces (30F15) Plurisubharmonic functions and generalizations (32U05) Deformations of submanifolds and subspaces (32G10)

Related Items (4)

Log-plurisubharmonicity of metric deformations induced by Schiffer and harmonic spans ⋮ \(C^1\) subharmonicity of harmonic spans for certain discontinuously moving Riemann surfaces ⋮ On rigidity of pseudoconvex domains fibered by open Riemann surfaces according to directional moduli ⋮ Variation formulas for principal functions, II: Applications to variation for harmonic spans

Cites Work

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• Variation of Bergman metrics on Riemann surfaces
• Immersion analytique d'une famille de surfaces de Riemann ouvertes
• Nouvelles recherches sur les fonctions entières de plusieurs variables complexes. II: Fonctions entières qui se reduisent à celles d'une variable
• The metric induced by the Robin function

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