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    • A submultiplicative property of the Carathéodory metric on planar domains

      AMAR DEEP SARKAR KAUSHAL VERMA

      Research Article Volume 130 Published: 15 June 2020 Article ID 0035

    • Fulltext

       

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      Permanent link:
      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

       
      Published
      15 June 2020
      Manuscript received
      5 June 2019
      Manuscript revised
      27 December 2019
      Accepted
      3 March 2020
      Early published
      Unedited version published online
      Final version published online
      6 June 2020

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      Posted on July 25, 2019

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