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arXiv 0907.1746math.GT
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圆柱形射线的发散与平行

Divergence et parallélisme des rayons d'étirement cylindriques

Guillaume Théret

摘要:

圆柱形拉伸线是瑟斯顿意义上的拉伸线,其horocyclic分层是加权的多曲线。本文证明了两条正确参数化的圆柱直线是平行的当且仅当这两条直线在Teichmüller空间的Thurston边界上收敛于同一点。

英文摘要:

A cylindrical stretch line is a stretch line, in the sense of Thurston, whose horocyclic lamination is a weighted multicurve. In this paper, we show that two correctly parameterized cylindrical lines are parallel if and only if these lines converge towards the same point in Thurston's boundary of Teichmüller space.

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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