Geometry of the Weil-Petersson completion of Teichmüller space

Scott A. Wolpert

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arXiv · math/0502528

Geometry of the Weil-Petersson completion of Teichmüller space

Scott A. Wolpert

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Abstract

We present a view of the current understanding of the geometry of Weil-Petersson (WP) geodesics on the completion of the Teichmüller space. We sketch a collection of results by other authors and then proceed to develop the properties of the WP CAT(0) geometry. Our approach includes a simplified proof of the Masur-Wolf theorem, a classification of flats and of geodesic limits.

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BibTeX RIS

Scott A. Wolpert. 2005-02-24. Geometry of the Weil-Petersson completion of Teichmüller space. https://arxiv.org/abs/math/0502528

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