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A different expression of the Weil-Petersson potential on the quasi-Fuchsian deformation space

Lee-Peng Teo
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Abstract

We extend a definition of the Weil-Petersson potential on the universal Teichmuller 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 Weil-Petersson potential on the quasi-Fuchsian deformation space.

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Lee-Peng Teo. 2005-08-25. A different expression of the Weil-Petersson potential on the quasi-Fuchsian deformation space. https://doi.org/10.1007/s11005-005-0004-z

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