A different expression of the Weil-Petersson potential on the quasi-Fuchsian deformation space
arXiv:math/0508483 · doi:10.1007/s11005-005-0004-z
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.
arXiv comment16 pages
References in corpus (3)
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- Weil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms
- Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping