Uniqueness of shortest closed geodesics for generic Finsler metrics
classification
🧮 math.DG
math.DS
keywords
finslermetricsclassclosedresidualshortestthereconformal
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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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