Riemannian metrics on Teichmüller space

DOI10.1007/BF02567518zbMath0848.30030OpenAlexW2067264987WikidataQ115392028 ScholiaQ115392028MaRDI QIDQ1911860

Lutz Habermann, Juergen Jost

Publication date: 28 April 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156163

zbMATH Keywords

Riemannian metricTeichmüller spacecompact Riemann surface

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)

Related Items (7)

Virtual homological eigenvalues and the Weil-Petersson translation length ⋮ Universal moduli spaces of Riemann surfaces ⋮ Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves ⋮ Non-completeness of the Arakelov-induced metric on moduli space of curves ⋮ Remarks on invariant metrics on Teichmüller space ⋮ Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves

Cites Work

• Morse-Conley theory for minimal surfaces of varying topological type
• Precise variational formulas for Abelian differentials
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Stability of projective varieties
• The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
• Hermitesche Metriken und normale Familien holomorpher Abbildungen
• On the moduli Jacobian varieties
• A fibre bundle description of Teichmüller theory
• On the Weil-Petersson Metric on Teichmuller Space
• Kernel functions, analytic torsion, and moduli spaces
• A transcendental view of the space of algebraic Riemann surfaces
• Differentials and Metrics on Riemann Surfaces
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