Riemannian metrics on Teichmüller space

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Lutz Habermann
  • Jürgen Jost

External Research Organisations

  • Ruhr-Universität Bochum
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Details

Original languageEnglish
Pages (from-to)281-306
Number of pages26
JournalManuscripta mathematica
Volume89
Issue number1
Publication statusPublished - Mar 1996
Externally publishedYes

Abstract

On each compact Riemann surface Σ of genus p ≥ 1, we have the Bergman metric obtained by pulling back the flat metric on its Jacobian via the Albanese map. Taking the L2-product of holomorphic quadratic differentials w.r.t. this metric induces a Riemannian metric on the Teichmüller space Tp that is invariant under the action of the modular group. We investigate geometric properties of this metric as an alternative to the usually employed Weil-Petersson metric.

ASJC Scopus subject areas

Cite this

Riemannian metrics on Teichmüller space. / Habermann, Lutz; Jost, Jürgen.
In: Manuscripta mathematica, Vol. 89, No. 1, 03.1996, p. 281-306.

Research output: Contribution to journal › Article › Research › peer review

Habermann, L & Jost, J 1996, 'Riemannian metrics on Teichmüller space', Manuscripta mathematica, vol. 89, no. 1, pp. 281-306.
Habermann, L., & Jost, J. (1996). Riemannian metrics on Teichmüller space. Manuscripta mathematica, 89(1), 281-306.
Habermann L, Jost J. Riemannian metrics on Teichmüller space. Manuscripta mathematica. 1996 Mar;89(1):281-306.
Habermann, Lutz ; Jost, Jürgen. / Riemannian metrics on Teichmüller space. In: Manuscripta mathematica. 1996 ; Vol. 89, No. 1. pp. 281-306.
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