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arXiv math/0611578math.GTmath.CV
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无限型hyperbolic Riemann surface在无穷远处的几何

The geometry at infinity of a hyperbolic Riemann surface of infinite type

Andrew Haas, Perry Susskind

摘要:

研究了具有无穷端点的无穷型平面黎曼曲面上的测地线。特别感兴趣的是一类以最有效的方式走出无限远的测地线。我们调查这些测地线的性质,并将它们与一个代表表面的富克斯群的狄利克雷多边形的边界结构。

英文摘要:

We study geodesics on a planar Riemann surface of infinite type having a single infinite end. Of particular interest is the class of geodesics that go out the infinite end in a most efficient manner. We investigate properties of these geodesics and relate them to the structure of the boundary of a Dirichlet polygon for a Fuchsian group representing the surface.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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