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    • On certain geodesic conjugacies of flat cylinders

      C S ARAVINDA H A GURURAJA

      Research Article Volume 127 Issue 3 June 2017 pp 517-523

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/127/03/0517-0523

    • Keywords

       

      Geodesic flow; flat cylinder; geodesic conjugacy; rotationally symmetry metrics; closed geodesics

    • Abstract

       

      We prove $C^0$-conjugacy rigidity of any flat cylinder among two different classes of metrics on the cylinder, namely among the class of rotationally symmetric metrics and among the class of metrics without conjugate points.

    • Author Affiliations

       

      C S ARAVINDA1 H A GURURAJA2

      1. TIFR Centre for Applicable Mathematics, P.O. Box 6503, Sharadanagar, GKVK Post, Bangalore 560 065, India
      2. Indian Institute of Science Education and Research, C/o Sree Rama Engineering College (Transit Campus), Rami Reddy Nagar, Karakambadi Road, Mangalam (P.O.), Tirupati 517 507, India

    • Dates

       
      Published
      1 June 2017
      Manuscript received
      29 July 2016
      Manuscript revised
      21 August 2016
      Accepted
      29 August 2016
      Early published
      Unedited version published online
      Final version published online
      1 June 2017

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