Huagui Duan

activity

20072026

most citedMultiple closed geodesics on bumpy Finsler

n

-spheres

48 citations · 92 across the 20 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.DG2024

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 $S^{n}$ $(n \geq 4)$ with reversibility $λ$ and flag curvature $K$ satisfying $(\frac{2 n - 3}{n - 1})^{2} (\frac{λ}{λ + 1})^{2} < K \leq 1$ an…

math.DS2024

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $R^{6}$

Huagui Duan, Hui Liu, Yiming Long +2

In this paper, we prove that for every non-degenerate $C^{3}$ compact star-shaped hypersurface $Σ$ in $R^{6}$ which carries no prime closed characteristic of Maslov-type ind…

On the minimal number of closed geodesics on positively curved Finsler spheres

Three closed characteristics on non-degenerate star-shaped hypersurfaces in R6

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $R^{6}$