Non-hyperbolic closed geodesics on positively curved Finsler spheres
Duan, Huagui
Original · EN
In this paper, we prove that for every Finsler n-dimensional sphere (Sⁿ,F), n≥ 3 with reversibility λ and flag curvature K satisfying (λ1+λ)²<K≤ 1, there exist at least three distinct closed geodesics and at least two of them are elliptic if the number of prime closed geodesics is finite. When n≥ 6, these three distinct closed geodesics are non-hyperbolic.
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