Non-hyperbolic closed geodesics on positively curved Finsler spheres
Copyright policy )Non-hyperbolic closed geodesics on positively curved Finsler spheres
Revised submission. arXiv admin note: substantial text overlap with arXiv:1504.00245; text overlap with arXiv:0705.4190, arXiv:1112.5234, arXiv:0909.3566, arXiv:0812.0039 by other authors
In this paper, we prove that for every Finsler $n$-dimensional sphere $(S^n,F), n\ge 3$ with reversibility $λ$ and flag curvature $K$ satisfying $\left(\fracλ{1+λ}\right)^2
- Nankai University China (People's Republic of)
Mathematics - Differential Geometry, non-hyperbolic, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Dynamical Systems (math.DS), Geodesics in global differential geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), reversibility, Differential Geometry (math.DG), positively curved, FOS: Mathematics, spheres, Mathematics - Dynamical Systems, closed geodesic, Variational problems in applications to the theory of geodesics (problems in one independent variable)
Mathematics - Differential Geometry, non-hyperbolic, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Dynamical Systems (math.DS), Geodesics in global differential geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), reversibility, Differential Geometry (math.DG), positively curved, FOS: Mathematics, spheres, Mathematics - Dynamical Systems, closed geodesic, Variational problems in applications to the theory of geodesics (problems in one independent variable)
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