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The second closed geodesic on Finsler spheres of dimension n>2

Differential Geometry 2007-05-23 v1

Abstract

We show the existence of at least two geometrically distinct closed geodesics on an n-dimensional sphere with a bumpy and non-reversible Finsler metric for n>2.

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Cite

@article{arxiv.math/0608160,
  title  = {The second closed geodesic on Finsler spheres of dimension n>2},
  author = {Hans-Bert Rademacher},
  journal= {arXiv preprint arXiv:math/0608160},
  year   = {2007}
}

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12 pages