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arXiv · 1405.2756

Uniqueness of shortest closed geodesics for generic Finsler metrics

Jan Philipp Schröder
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Abstract

In every conformal class of Finsler (or Riemannian) metrics on a closed manifold there exists a residual subset of Finsler metrics, such that, with respect to the residual Finsler metrics, in any non-trivial homotopy class of free loops there is precisely one shortest geodesic loop.

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Jan Philipp Schröder. 2014-05-12. Uniqueness of shortest closed geodesics for generic Finsler metrics. https://arxiv.org/abs/1405.2756

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