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

Rademacher, Hans-Bert

doi:10.1090/S0002-9947-09-04745-X

The second closed geodesic on Finsler spheres of dimension $n > 2$
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by Hans-Bert Rademacher

Trans. Amer. Math. Soc. 362 (2010), 1413-1421

DOI: https://doi.org/10.1090/S0002-9947-09-04745-X

Published electronically: September 18, 2009

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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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