11 citations · 27 across the 11 of their papers we have counts for
12 papers
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…
Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
We prove that every Reeb flow on a closed connected three-manifold has either two or infinitely many simple periodic orbits, assuming that the associated contact structure has tors…
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…
Multiplicity and stability of closed characteristics on compact convex P-cyclic symmetric hypersurfaces in
Hui Liu
Let be a compact convex hypersurface in which is P-cyclic symmetric, i.e., implies with P being a symplectic orthogonal matrix and…
Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in
Hui Liu, Chongzhi Wang, Duanzhi Zhang
Let be a compact convex hypersurface in which is P-cyclic symmetric, i.e., implies with P being a symplectic orthogonal matrix and…