A Note on Stable Teichmüller Quasigeodesics

Proceedings Mathematical Sciences

Abhijit Pal¹ 

[1] Department of Mathematics, Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Kelambakkan 0 0, India$$

关键词: Teichmüller space;    relatively hyperbolic space;    mapping class groups;    quasigeodesics.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this note, we prove that for a cobounded, Lipschitz path $𝛾:I→ mathcal{T}$ in the Teichmüller space $mathcal{T}$ of a hyperbolic surface, if the pull back bundle $mathcal{H}_𝛾→ I$ of the cannonical $mathbb{H}^2$-bundle $mathcal{H}→ T$ is a strongly relatively hyperbolic metric space then there exists a geodesic 𝜉 of 𝑇 such that 𝛾(𝐼) and 𝜉 are close to each other.

【 授权许可】

Unknown