The Weil-Petersson metric geometry

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dc.creatorWolpert, Scott A.
dc.date2007-12-31
dc.date.accessioned2026-07-07T08:51:59Z
dc.date.available2026-07-07T08:51:59Z
dc.descriptionA summary introduction of the Weil-Petersson metric space geometry is presented. Teichmueller space and its augmentation are described in terms of Fenchel-Nielsen coordinates. Formulas for the gradients and Hessians of geodesic-length functions are presented. Applications are considered. A description of the Weil-Petersson metric in Fenchel-Nielsen coordinates is presented. The Alexandrov tangent cone at points of the augmentation is described. A comparison dictionary is presented between the geometry of the space of flat tori and Teichmueller space with the Weil-Petersson metric.
dc.identifierhttps://arxiv.org/abs/0801.0175
dc.identifierhttp://arxiv.org/abs/0801.0175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145129
dc.subjectDifferential Geometry
dc.subject32G15 (Primary) 20H10, 30F60 (Secondary)
dc.titleThe Weil-Petersson metric geometry
dc.typetext

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