Geodesic Length Functions and Teichmüller Spaces
| dc.creator | Luo, Feng | |
| dc.date | 1998-01-07 | |
| dc.date.accessioned | 2026-07-07T05:23:31Z | |
| dc.date.available | 2026-07-07T05:23:31Z | |
| dc.description | Given a compact orientable surface with finitely many punctures $Σ$, let $\Cal S(Σ)$ be the set of isotopy classes of essential unoriented simple closed curves in $Σ$. We determine a complete set of relations for a function from $\Cal S(Σ)$ to $\bold R$ to be the geodesic length function of a hyperbolic metric with geodesic boundary and cusp ends on $Σ$. As a conse quence, the Teichmüller space of hyperbolic metrics with geodesic boundary and cusp ends on $Σ$ is reconstructed from an intrinsic $(\bold QP^1, PSL(2, \bold Z))$ structure on $\Cal S(Σ)$. | |
| dc.description | 32 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/math/9801024 | |
| dc.identifier | http://arxiv.org/abs/math/9801024 | |
| dc.identifier | J. Differential Geometry, Vol. 48, 1998, 275-317. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76464 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57 | |
| dc.title | Geodesic Length Functions and Teichmüller Spaces | |
| dc.type | text |