The Green function of Teichmüller spaces with applications

DOI10.1090/S0273-0979-1992-00294-XzbMath0766.30016arXivmath/9207216OpenAlexW2087155338MaRDI QIDQ4016744

Samuel L. Krushkal

Publication date: 16 January 1993

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9207216

zbMATH Keywords

Teichmüller spaceFuchsian groupGreen functionKobayashi- Teichmüller metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Pluriharmonic and plurisubharmonic functions (31C10) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (7)

Estimates of the Bergman kernel on Teichmüller space ⋮ Pluripotential theory on Teichmüller space. II: Poisson integral formula ⋮ The pluripotential compactification of Teichmüller space ⋮ Extremal length functions are log-plurisubharmonic ⋮ Pluricomplex Green functions on manifolds ⋮ Pluripotential theory on Teichmüller space I: Pluricomplex Green function ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis

Cites Work

• Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• The invariant pseudo-metric related to negative plurisubharmonic functions
• Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach. (Pluricomplex Green functions and Schwarzian lemmata in Banach spaces)
• The Teichmüller distance is differentiable
• Extremal plurisubharmonic functions and invariant pseudodistances
• Holomorphic Motions and Polynomial Hulls
• Holomorphic Motions and Teichmuller Spaces
• Extremal Quasiconformal Mappings with Prescribed Boundary Values
• Extremal quasiconformal mappings
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