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
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32G15, 30F60, 30F10
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Teo, LP. A Different Expression of the Weil–Petersson Potential on the Quasi-Fuchsian Deformation Space. Lett Math Phys 73, 91–107 (2005). https://doi.org/10.1007/s11005-005-0004-z
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DOI: https://doi.org/10.1007/s11005-005-0004-z