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Letters in Mathematical Physics

, Volume 73, Issue 2, pp 91–107 | Cite as

A Different Expression of the Weil–Petersson Potential on the Quasi-Fuchsian Deformation Space

  • Lee-Peng Teo
Article

Abstract

We extend a definition of the Weil–Petersson potential on the universal Teichmüller space to the quasi-Fuchsian deformation space. We prove that up to a constant, this function coincides with the Weil–Petersson potential on the quasi-Fuchsian deformation space. As a result, we prove a lower bound for the potential on the quasi-Fuchsian deformation space

Keywords

potential Teichmüller space quasi-Fuchsian 

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References

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    Takhtajan L.A., Teo L.-P. (2003). Weil–Petersson Metric on the Universal Teichmüller space I: Curvature Properties and Chern forms. Preprint arXiv: Math.CV/0312172Google Scholar
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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Faculty of Information TechnologyMultimedia University, Jalan MultimediaCyberjayaMalaysia

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