Two elliptic closed geodesics on positively curved Finsler spheres
作者： Huagui Duan
DOI: 10.1016/J.JDE.2016.02.025
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摘要: Abstract In this paper, we prove that for every Finsler n-dimensional sphere ( S n , F ) with reversibility λ and flag curvature K satisfying 1 + 2 ≤ either there exist infinitely many closed geodesics, or at least two elliptic geodesics each linearized Poincare map has one eigenvalue of the form e − θ being an irrational multiple π.
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