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On certain geodesic conjugacies of flat cylinders

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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.

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Acknowledgement

The authors thank the anonymous referee for comments that have helped enhance clarity and readability of the paper.

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Authors and Affiliations

  1. TIFR Centre for Applicable Mathematics, P.O. Box 6503, Sharadanagar, GKVK Post, Bangalore, 560 065, India

    C S ARAVINDA

  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

    H A GURURAJA

Authors
  1. C S ARAVINDA
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  2. H A GURURAJA
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Correspondence to H A GURURAJA.

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Communicating Editor: Mj Mahan

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ARAVINDA, C.S., GURURAJA, H.A. On certain geodesic conjugacies of flat cylinders. Proc Math Sci 127, 517–523 (2017). https://doi.org/10.1007/s12044-017-0343-6

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  • DOI: https://doi.org/10.1007/s12044-017-0343-6

Keywords

2000 Mathematics Subject Classification.

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