• A submultiplicative property of the Carathéodory metric on planar domains

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      https://www.ias.ac.in/article/fulltext/pmsc/130/0035

    • Keywords

       

      Carathéodory metric; curvature; Ahlfors map and localization

    • Abstract

       

      Given a pair of smoothly bounded domains $D_{1}$, $D_{2} \subset \mathbb{C}$, the purpose of this paper is to obtain an inequality that relates the Carathéodory metrics on $D_{1}$, $D_{2}$, $D_{1}\cap D_{2}$ and $D_{1} \cup D_{2}$.

    • Author Affiliations

       

      AMAR DEEP SARKAR1 KAUSHAL VERMA1

      1. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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