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Closed geodesics on incomplete surfaces

Paul Norbury·J. Hyam Rubinstein
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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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Paul Norbury, J. Hyam Rubinstein. 2003-09-09. Closed geodesics on incomplete surfaces. https://arxiv.org/abs/math/0309159

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