Extension of the Weil-Petersson connection
Scott A. Wolpert
Source: Duke Math. J. Volume 146, Number 2
(2009), 281-303.
Abstract
Convexity properties of Weil-Petersson (WP) 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
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1231170941
Digital Object Identifier: doi:10.1215/00127094-2008-066
Mathematical Reviews number (MathSciNet): MR2477762
Zentralblatt MATH identifier: 05501866
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