Iterated index formulae for closed geodesics with applications.

zbMath1054.53063MaRDI QIDQ1609719

Long, Yiming, Chun-gen Liu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics, Multiple closed geodesics on Riemannian 3-spheres, Multiple closed geodesics on bumpy Finsler \(n\)-spheres, The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form, The existence of two closed geodesics on every Finsler 2-sphere, Hill’s formula for $g$-periodic trajectories of Lagrangian systems, 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 \(S^{2n+1}/ \Gamma \), 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, Closed geodesics on positively curved Finsler spheres, Stability of closed geodesics on Finsler 2-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, Morse index and the stability of closed geodesics, The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\), Multiple closed geodesics on 3-spheres, The non-contractibility of closed geodesics on Finsler \(\mathbb{R} P^n\), A review of the index method in closed geodesic problem, Instability of semi-Riemannian closed geodesics, A symmetric property in the enhanced common index jump theorem with applications to the closed geodesic problem, The relation of the Morse index of closed geodesics with the Maslov-type index of symplectic paths