Understanding Weil-Petersson curvature

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dc.creatorWolpert, Scott A.
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:04:25Z
dc.date.available2026-07-07T10:04:25Z
dc.descriptionA brief history of the investigation of the Weil-Petersson curvature and a summary of Teichmüller theory are provided. A report is presented on the program to describe an intrinsic geometry with the Weil-Petersson metric and geodesic-length functions. Formulas for the metric, covariant derivative and formulas for the curvature tensor are presented. A discussion of methods is included. Recent and new applications are sketched, including results from the work of Liu-Sun-Yau, an examination of the Yamada model metric and a description of Jacobi fields along geodesics to the boundary.
dc.identifierhttps://arxiv.org/abs/0809.3699
dc.identifierhttp://arxiv.org/abs/0809.3699
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169669
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject32G15 (Primary) 20H10, 30F60 (Secondary)
dc.titleUnderstanding Weil-Petersson curvature
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