Asymptotics of the Gaussian Curvatures of the Canonical Metric on the Surface

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dc.creatorHuang, Zheng
dc.date2006-04-26
dc.date.accessioned2026-07-07T07:11:18Z
dc.date.available2026-07-07T07:11:18Z
dc.descriptionWe study the canonical metric on a compact Riemann surface of genus at least two. While it is known that the canonical metric is of nonpositive curvature, we show that its Gaussian curvatures are not bounded away from zero nor negative infinity when the surface is close to the compactification divisor of Riemann's moduli space.
dc.description11 pages. A previous post "The Canonical Metric on a Riemann Surface and Its Induced Metric on Teichmüller Space" has been rewritten to two separate papers. This is the one focusing on the canonical metric on a compact Riemann surface
dc.identifierhttps://arxiv.org/abs/math/0604579
dc.identifierhttp://arxiv.org/abs/math/0604579
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111709
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject30F60, 32G15
dc.titleAsymptotics of the Gaussian Curvatures of the Canonical Metric on the Surface
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