Two elliptic closed geodesics on positively curved Finsler spheres

DOI10.1016/j.jde.2016.02.025zbMath1405.53060arXiv1504.00245OpenAlexW279677457MaRDI QIDQ266385

Hua Gui Duan

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1504.00245

zbMATH Keywords

ellipticspheresreversibilityclosed geodesicFinsler metricpositively curvednon-hyperbolic

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 (8)

Two elliptic closed geodesics on positively curved Finsler spheres ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics ⋮ Index iteration theories for periodic orbits: old and new ⋮ Existence results for closed Finsler geodesics via spherical complexities ⋮ Closed Geodesics on Positively Curved Finsler 3-Spheres ⋮ Finsler spheres with constant flag curvature and finite orbits of prime closed geodesics ⋮ 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

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