Closed geodesics on incomplete surfaces

2003/09/09 by Paul Norbury, J. Hyam Rubinstein, Norbury, Paul +1
Mathematics · #53A10 #57N10 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:53A10 #msc:57N10

paper · pdf · doi:10.48550/arxiv.math/0309159

27 pages, 6 figures

arxiv created 2003/09/09 · arxiv updated 2009/12/01

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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