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Existence of closed geodesics on Finsler \(n\)-spheres - MaRDI portal

Existence of closed geodesics on Finsler \(n\)-spheres (Q651146)

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Existence of closed geodesics on Finsler \(n\)-spheres
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    Existence of closed geodesics on Finsler \(n\)-spheres (English)
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    8 December 2011
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    It is proved that on every Finsler \(n\)-sphere with reversibility \(\lambda\) satisfying certain conditions, there always exist at least \(n\) prime closed geodesics without self-intersections. The stability of these closed geodesics is discussed as well.
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    Finsler spheres
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    closed geodesics
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    equivariant Morse theory
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    reversibility
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    stability
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