Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property

Sumio Yamada

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arXiv · 0805.2762

Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property

Sumio Yamada

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Abstract

We construct a Weil-Petersson geodesic completion of Teichmuller space through the formalism of Coxeter complex with the Teichmuller space as its non-linear non-homogeneous fundamental domain. We show that the metric and geodesic completions both satisfy a finite rank property, demonstrating a similarity with the non-compact symmetric spaces of semi-simple Lie groups.

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BibTeX RIS

Sumio Yamada. 2008-10-13. Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property. https://arxiv.org/abs/0805.2762

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