Mathematical Research Letters
Volume 11 (2004)
On the Geometry of Weil-Petersson Completion of Teichmüller Spaces
Pages: 327 – 344
Given a surface of higher genus, we will look at the Weil-Petersson completion of the Teichmüller space of the surface, and will study the geometry induced by the Weil-Petersson distance functional. Although the completion is no longer a Riemannian manifold, it has characteristics similar to those of Cartan-Hadamard manifolds.