论文标题

Teichmüller空间与Thurston Metric的局部刚性

Local Rigidity of Teichmüller space with Thurston metric

论文作者

Pan, Huiping

论文摘要

我们表明,每条$ \ Mathbb R $ - 线性冲洗式等轴测图与配备了瑟斯顿标准的Teichmüller空间之间的每一个均匀的空间是由基础双曲线表面之间的某些等轴测引起的,这是罗伊登(Royden)的类似物,这是罗伊登(Royden)的类似物。

We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichmüller metric.

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