The Weil-Petersson geometry of the five-times punctured sphere

نویسنده

  • Javier Aramayona
چکیده

We give a new proof that the completion of the Weil-Petersson metric on Teichmüller space is Gromov-hyperbolic if the surface is a five-times punctured sphere or a twice-punctured torus. Our methods make use of the synthetic geometry of the Weil-Petersson metric.

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تاریخ انتشار 2008