论文标题
Teichmüller和Anti de Sitter几何形状的长度功能
Length functions in Teichmüller and anti de Sitter geometry
论文作者
论文摘要
我们在TeichMüller空间上长度函数的行为与某些抗De Sitter 3个manifolds的几何形状之间建立了联系。作为一种应用，我们给出了Teichmüller理论结果的新的纯粹的抗De Sitter证明，例如（严格）沿剪切路径的长度函数的（严格）沿剪切路径的长度函数和地震的第二个变化。一路上，我们为Mess'Anti De Sitter 3-Manifolds提供剪切弯曲坐标。
We establish a link between the behavior of length functions on Teichmüller space and the geometry of certain anti de Sitter 3-manifolds. As an application, we give new purely anti de Sitter proofs of results of Teichmüller theory such as (strict) convexity of length functions along shear paths and geometric bounds on their second variation along earthquakes. Along the way, we provide shear-bend coordinates for Mess' anti de Sitter 3-manifolds.
