The second closed geodesic on Finsler spheres of dimension 𝑛>2
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Publication:3550540
DOI10.1090/S0002-9947-09-04745-XzbMath1189.53039arXivmath/0608160OpenAlexW2022748335MaRDI QIDQ3550540
Publication date: 31 March 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608160
Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (25)
Two elliptic closed geodesics on positively curved Finsler spheres ⋮ Homogeneous Finsler spaces with only one orbit of prime closed geodesics ⋮ Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics ⋮ The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form ⋮ Resonance identity and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ The irrational ratio of average indices of closed geodesics on positively curved Finsler spheres ⋮ Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric ⋮ The optimal lower bound estimation of the number of closed geodesics on Finsler compact space form \(S^{2n+1}/ \Gamma \) ⋮ Two short closed geodesics on a sphere of odd dimension ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics ⋮ Index iteration theories for periodic orbits: old and new ⋮ On a conjecture of Anosov ⋮ Closed geodesics on Finsler spheres ⋮ The second closed geodesic on a complex projective plane ⋮ The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Bumpy metrics on spheres and minimal index growth ⋮ Multiple closed geodesics on positively curved Finsler manifolds ⋮ Closed Geodesics on Positively Curved Finsler 3-Spheres ⋮ The index growth and multiplicity of closed geodesics ⋮ The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ Spherical complexities with applications to closed geodesics ⋮ The non-contractibility of closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ A symmetric property in the enhanced common index jump theorem with applications to the closed geodesic problem ⋮ Multiplicity of non-contractible closed geodesics on Finsler compact space forms
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