Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property
| dc.creator | Yamada, Sumio | |
| dc.date | 2008-05-18 | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:08:57Z | |
| dc.date.available | 2026-07-07T10:08:57Z | |
| dc.description | 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. | |
| dc.description | 31pages, new version contains a few typos corrected, and a minor modification | |
| dc.identifier | https://arxiv.org/abs/0805.2762 | |
| dc.identifier | http://arxiv.org/abs/0805.2762 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171179 | |
| dc.subject | Differential Geometry | |
| dc.subject | 30F60 (Primary); 51F15, 53C21 (Secondary) | |
| dc.title | Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property | |
| dc.type | text |