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Closed Geodesics on Incomplete Surfaces

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Abstract

We consider the problem of finding embedded closed geodesics on the two-sphere with an incomplete metric defined outside a point. Various techniques including curve shortening methods are used

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Melbourne, Melbourne, 3010, Australia

    Paul Norbury & J. Hyam. Rubinstein

Authors
  1. Paul Norbury
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  2. J. Hyam. Rubinstein
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Correspondence to J. Hyam. Rubinstein.

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The authors acknowledge the support of the Australian Research Council

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Norbury, P., Rubinstein, J.H. Closed Geodesics on Incomplete Surfaces. Geom Dedicata 116, 1–36 (2005). https://doi.org/10.1007/s10711-005-1892-x

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  • DOI: https://doi.org/10.1007/s10711-005-1892-x

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