Extension of the Weil-Petersson connection
Wolpert, Scott A.
Duke Math. J., Tome 146 (2009) no. 1, p. 281-303 / Harvested from Project Euclid
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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
Publié le : 2009-02-01
Classification:  32G15,  20H10,  30F60 
@article{1231170941,
     author = {Wolpert, Scott A.},
     title = {Extension of the Weil-Petersson connection},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 281-303},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1231170941}
}

Wolpert, Scott A. Extension of the Weil-Petersson connection. Duke Math. J., Tome 146 (2009) no. 1, pp.  281-303. http://gdmltest.u-ga.fr/item/1231170941/