Fixed points of compositions of earthquakes
Fixed points of compositions of earthquakes
复制标题
地震组合不动点
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Jean
中科院分区：
文献类型：
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作者：
F. Bonsante;Jean
设S是亏格至少为2的闭曲面，考虑两个填充S的测地线叠层。沿着这些纹层的右地震是S.我们证明了这些地震的合成在Teichmuller空间中有一个不动点。另一种表述这个结果的方式是，可以规定填充表面的任何两个测量的叠层作为全局双曲AdS流形的凸核的上和下测量的弯曲叠层。证明使用了一些从这些AdS流形的几何估计。
Let S be a closed surface of genus at least 2, and consider two measured geodesic laminations that fill S. Right earthquakes along these laminations are diffeomorphisms of the Teichmuller space of S. We prove that the composition of these earthquakes has a fixed point in the Teichmuller space. Another way to state this result is that it is possible to prescribe any two measured laminations that fill a surface as the upper and lower measured bending laminations of the convex core of a globally hyperbolic AdS manifold. The proof uses some estimates from the geometry of those AdS manifolds.