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

Research paper by Lee-Peng Teo

Indexed on: 25 Aug '05Published on: 25 Aug '05Published in: Mathematics - Complex Variables



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.