Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric

DOI10.1007/s00526-015-0887-1zbMath1330.53096OpenAlexW778351494MaRDI QIDQ889734

Yu Ming Xiao, Hua Gui Duan, Long, Yiming

Publication date: 9 November 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0887-1

zbMATH Keywords

closed geodesicFinsler metric

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) 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 (11)

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 optimal lower bound estimation of the number of closed geodesics on Finsler compact space form \(S^{2n+1}/ \Gamma \) ⋮ The spaces of non-contractible closed curves in compact space forms ⋮ Index iteration theories for periodic orbits: old and new ⋮ The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler \(\mathbb{R} P^2\) ⋮ The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds ⋮ The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ The non-contractibility of closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ A review of the index method in closed geodesic problem ⋮ Multiplicity of non-contractible closed geodesics on Finsler compact space forms

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