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

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

2005-08-25

arxiv.org/abs/math/0508483v1

Lett.Math.Phys. 73 (2005) 91-107

Mathematics

Complex Variables

16 pages

Scientific paper

10.1007/s11005-005-0004-z

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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