Stability of closed geodesics on Finsler 2-spheres

DOI10.1016/j.jfa.2008.05.001zbMath1151.53037OpenAlexW2095247116MaRDI QIDQ941421

Wei Wang, Long, Yiming

Publication date: 1 September 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.05.001

zbMATH Keywords

stabilityclosed geodesicsMorse inequalityFinsler spheresindex iterationmean index identity

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (15)

Two elliptic closed geodesics on positively curved Finsler spheres ⋮ Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics ⋮ The irrational ratio of average indices of closed geodesics on positively curved Finsler spheres ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics ⋮ On the average indices of closed geodesics on positively curved Finsler spheres ⋮ Index iteration theories for periodic orbits: old and new ⋮ On a conjecture of Anosov ⋮ Closed geodesics on Finsler spheres ⋮ Existence of closed geodesics on Finsler \(n\)-spheres ⋮ The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds ⋮ Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres ⋮ Multiple closed geodesics on positively curved Finsler manifolds ⋮ A review of the index method in closed geodesic problem ⋮ A symmetric property in the enhanced common index jump theorem with applications to the closed geodesic problem ⋮ Open problems and questions about geodesics

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