48 citations · 92 across the 20 of their papers we have counts for
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On the minimal number of closed geodesics on positively curved Finsler spheres
Huagui Duan, Dong Xie
In this paper, we proved that for every Finsler metric on with reversibility and flag curvature satisfying an…
Multiplicity and stability of closed geodesics on positively curved Finsler -spheres
Huagui Duan, Dong Xie
In this paper, we prove that for every Finsler -dimensional sphere with reversibility and flag curvature satisfying $\frac{25}{9}\left(\fracλ{1+λ}\right)^2<K\l…
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…
The index growth and multiplicity of closed geodesics
Huagui Duan, Yiming Long
In the recent paper \cite{LoD1}, we classified closed geodesics on Finsler manifolds into rational and irrational two families, and gave a complete understanding on the index growt…
Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
Huagui Duan, Yiming Long
We prove that for every $\Q$-homological Finsler 3-sphere with a bumpy and irreversible metric , either there exist two non-hyperbolic prime closed geodesics, or there e…
Multiple closed geodesics on bumpy Finsler -spheres
Huagui Duan, Yiming Long
In this paper we prove that for every bumpy Finsler metric on every rationally homological -dimensional sphere with , there exist always at least two distinct…