4 papers
Stability of closed characteristics and invariant sets on star-shaped hypersurfaces
Huagui Duan, Zihao Qi
This paper focuses on the stability of a closed characteristic and invariant sets on compact star shaped hypersurfaces in with finitely many simple closed characteri…
Closed Reeb orbits on contact type hypersurfaces in
Huagui Duan, Zihao Qi
In this paper, it is proved that under dynamically convex condition, there exist at least closed Reeb orbits on a closed contact type hypersurface in enc…
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…
Multiple closed geodesics on Finsler -dimensional sphere
Huagui Duan, Zihao Qi
In 1973, Katok constructed a non-degenerate (also called bumpy) Finsler metric on with exactly four prime closed geodesics. And then Anosov conjectured that four should be th…