THE BERGMAN METRIC ON TEICHMÜLLER SPACE

DOI10.1142/S0129167X04002697zbMath1066.32019OpenAlexW2092021168MaRDI QIDQ4653534

Bo-Yong Chen

Publication date: 7 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0129167x04002697

zbMATH Keywords

Teichmüller spaceRiemann surfaceTeichmüller metricBergman metricKähler metricKähler hyperbolicity

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)

Related Items (5)

Estimates of the Bergman kernel on Teichmüller space ⋮ Infinite dimensionality of the middle \(L^2\)-cohomology on non-compact Kähler hyperbolic manifolds ⋮ On the Kähler hyperbolicity with respect to the Bergman metric on a class of Hartogs domains ⋮ Holomorphic invariants of bounded domains ⋮ Compactness of the \(\overline{\partial} \)-Neumann problem on domains with bounded intrinsic geometry

Cites Work

• Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces
• Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces
• The moduli space of Riemann surfaces is Kähler hyperbolic
• A General Schwarz Lemma for Kahler Manifolds
• On the bergman kernel of hyperconvex domains
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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