Rigidity about two linear structures on the space of measured laminations
Rigidity about two linear structures on the space of measured laminations
复制标题
被测叠片空间上两个线性结构的刚度
DOI：
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Jiang Manman
中科院分区：
文献类型：
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作者：
Jiang Manman
通过对 Teichmüller 余切空间中的投影测量叠片空间进行建模。通过双曲长度函数和极值长度函数，我们将两类线性结构与测量叠层的空间关联起来。我们证明这两种线性结构都是刚性的：不同黎曼曲面上诱导的线性结构是不同的
By modeling the space of projective measured laminations in the cotangent space to Teichmüller. space via hyperbolic length functions and extremal length functions，we associate two classes.of linear structures to the space of measured laminations. We prove that both of these two linear structures .are rigid：the induced linear structures on different Riemann surfaces are different