• A Note on Stable Teichmüller Quasigeodesics

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/123/01/0047-0054

• # Keywords

Teichmüller space; relatively hyperbolic space; mapping class groups; quasigeodesics.

• # Abstract

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

• # Author Affiliations

1. Department of Mathematics, Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Kelambakkan 603 103, India

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019