48 citations · 92 across the 20 of their papers we have counts for
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Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in
Huagui Duan, Hui Liu, Yiming Long +1
In this paper, we prove that for every index perfect non-degenerate compact star-shaped hypersurface , there exist at least non-hyperbolic closed characte…
The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
Huagui Duan, Yiming Long, Wei Wang
In this paper, we first generalize the common index jump theorem for symplectic matrix paths proved in 2002 by Long and Zhu in [LoZ], and get an enhanced version of it. As its appl…
Non-hyperbolic closed geodesics on positively curved Finsler spheres
Huagui Duan
In this paper, we prove that for every Finsler -dimensional sphere with reversibility and flag curvature satisfying …
On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics
Huagui Duan, Hui Liu
If all prime closed geodesics on with an irreversible Finsler metric are irrationally elliptic, there exist either exactly or infinitely…
Two elliptic closed geodesics on positively curved Finsler spheres
Huagui Duan
In this paper, we prove that for every Finsler -dimensional sphere with reversibility $\lm$ and flag curvature satisfying $\left(\frac{\lm}{1+\lm}\right)^2<K\le…