Extension of the Weil-Petersson connection
Extension of the Weil-Petersson connection
复制标题
威尔-彼得森连接的延伸
DOI：
10.1215/00127094-2008-066
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
S. Wolpert
中科院分区：
文献类型：
--
作者：
S. Wolpert
研究了穿孔黎曼曲面 Teichm\"{u}ller 空间上 Weil-Petersson 测地线的凸性性质。提出了收缩双曲度量的 Weil-Petersson Levi-Civita 连接的范式。该范式用于建立边界空间中测地线的近似。结合考虑因素建立沿 双曲度量的星环之间的距离函数的 Weil-Petersson 测地线。
Convexity properties of Weil-Petersson geodesics on the Teichm\"{u}ller 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.