Extension of the Weil-Petersson connection

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dc.creatorWolpert, Scott A.
dc.date2007-09-16
dc.date.accessioned2026-07-07T08:29:57Z
dc.date.available2026-07-07T08:29:57Z
dc.descriptionConvexity properties of Weil-Petersson geodesics on the Teichmüller space of punctured Riemann surfaces are investigated. A normal form is presented for the Weil-Petersson Levi-Civita connection for pinched hyperbolic metrics. The normal form is used to establish approximation of geodesics in boundary spaces. Considerations are combined to establish convexity along Weil-Petersson geodesics of the functions the distance between horocycles for a hyperbolic metric.
dc.identifierhttps://arxiv.org/abs/0709.2513
dc.identifierhttp://arxiv.org/abs/0709.2513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138118
dc.subjectDifferential Geometry
dc.subject32G15 (Primary) 20H10, 30F60 (Secondary)
dc.titleExtension of the Weil-Petersson connection
dc.typetext

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