On Teichmuller Space of Surface with Boundary

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dc.creatorLuo, Feng
dc.date2006-01-15
dc.date2006-06-17
dc.date.accessioned2026-07-07T06:58:56Z
dc.date.available2026-07-07T06:58:56Z
dc.descriptionWe characterization hyperbolic metrics on compact surfaces with boundary using a variational principle. As a consequence, a new parametrization of the Teichmuller space of compact surface with boundary is produced. In the new parametrization, the Teichmuller space becomes an open convex polytope. It is conjectured that the Weil-Petersson symplectic form can be expressed explicitly in terms of the new coordinate.
dc.description15 pages, minor changes, adding some remarks, to appear in Duke Mathematical Journal
dc.identifierhttps://arxiv.org/abs/math/0601364
dc.identifierhttp://arxiv.org/abs/math/0601364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107559
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleOn Teichmuller Space of Surface with Boundary
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