48 citations · 92 across the 20 of their papers we have counts for
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The second closed geodesic on Finsler manifolds with fundamental group
Huagui Duan, Hui Liu, Wei Wang
Let be a compact bumpy Finsler manifold with , we prove that there exist at least two distinct non-contractible closed geodesics on .
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…
Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond
Huagui Duan, Hui Liu, Yiming Long +1
In this paper, we first generalize the common index jump theorem of Long-Zhu in 2002 and Duan-Long-Wang in 2016 to the case where the mean indices of symplectic paths are not requi…
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 …