The Weil-Petersson geometry of the five-times punctured sphere

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dc.creatorAramayona, Javier
dc.date2005-01-31
dc.date2005-04-12
dc.date.accessioned2026-07-07T05:16:33Z
dc.date.available2026-07-07T05:16:33Z
dc.descriptionWe give a new proof that the completion of the Weil-Petersson metric on Teichmüller space is Gromov-hyperbolic if the surface is a five-times punctured sphere or a twice-punctured torus. Our methods make use of the synthetic geometry of the Weil-Petersson metric.
dc.description11 pages. Revised version, to appear in "Spaces of Kleinian Groups", LMS Lecture Notes, Eds. Y.Minsky, M.Sakuma, C.Series
dc.identifierhttps://arxiv.org/abs/math/0501552
dc.identifierhttp://arxiv.org/abs/math/0501552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74027
dc.subjectDifferential Geometry
dc.titleThe Weil-Petersson geometry of the five-times punctured sphere
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