Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property - Mathematics > Differential GeometryReport as inadecuate




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



Author: Sumio Yamada

Source: https://arxiv.org/







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