Dong Xie

activity

20222025

most citedGeometric Approach to Light Rings in Axially Symmetric Spacetimes

1 citations · 1 across the 5 of their papers we have counts for

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math.DG2024

Four closed characteristics on compact star-shaped hypersurfaces in $R^{8}$

Huagui Duan, Dong Xie

In this paper, we proved that for every non-degenerate $C^{3}$ compact star-shaped hypersurface $Σ$ in $R^{8}$ which carries no prime closed characteristic of Maslov-type in…

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…

Four closed characteristics on compact star-shaped hypersurfaces in R8

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

Four closed characteristics on compact star-shaped hypersurfaces in $R^{8}$