7 citations · 10 across the 2 of their papers we have counts for
6 papers
Four closed characteristics on compact star-shaped hypersurfaces in
Huagui Duan, Dong Xie
In this paper, we proved that for every non-degenerate compact star-shaped hypersurface in which carries no prime closed characteristic of Maslov-type in…
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…
Three closed characteristics on non-degenerate star-shaped hypersurfaces in
Huagui Duan, Hui Liu, Yiming Long +2
In this paper, we prove that for every non-degenerate compact star-shaped hypersurface in which carries no prime closed characteristic of Maslov-type ind…
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…
The index quasi-periodicity and multiplicity of closed geodesics
Huagui Duan, Yiming Long
In this paper, we prove the existence of at least two distinct closed geodesics on every compact simply connected irreversible or reversible Finsler (including Riemannian) manifold…
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…