• A Note on Stable Teichmüller Quasigeodesics

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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


      Abhijit Pal1

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

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.