We show that the diameter of the skinning map of an acylindrical hyperbolic 3-manifold M is bounded on 𝜀-thick Teichmüller geodesics by a constant depending only on 𝜀 and the topological type of ∂M.

中文翻译：

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沿厚射线的蒙皮边界

我们证明了圆柱双曲线的蒙皮图的直径3-歧管米有界𝜀-厚的 Teichmüller 测地线由一个常数决定，仅取决于𝜀和拓扑类型∂米.