• A Note on Stable Teichmüller Quasigeodesics

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      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

       

      Abhijit Pal1

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

       
  • Proceedings – Mathematical Sciences | News

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