A symmetric property in the enhanced common index jump theorem with applications to the closed geodesic problem

DOI10.3934/dcds.2021178zbMath1490.53058OpenAlexW3217244092MaRDI QIDQ2078363

Wei Wang, Muhammad Hamid

Publication date: 28 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021178

zbMATH Keywords

Morse theoryclosed geodesicFinsler manifoldindex iteration

Mathematics Subject Classification ID

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 (2)

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Cites Work

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• The second closed geodesic on Finsler spheres of dimension 𝑛>2
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