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.DG2022

Multiplicity and stability of closed geodesics on positively curved Finsler $4$ -spheres

Huagui Duan, Dong Xie

In this paper, we prove that for every Finsler $4$ -dimensional sphere $(S^{4}, F)$ with reversibility $λ$ and flag curvature $K$ satisfying $\frac{25}{9}\left(\fracλ{1+λ}\right)^2<K\l…

math.SG2022

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Huagui Duan, Dong Xie

Let $M$ be a compact simply connected manifold satisfying $H^{*} (M; Q) ≅ T_{d, n + 1} (x)$ for integers $d \geq 2$ and $n \geq 1$ . If all prime closed geodesics on $(M, F)$ with an…

Multiplicity and stability of closed geodesics on positively curved Finsler 4-spheres

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Multiplicity and stability of closed geodesics on positively curved Finsler $4$ -spheres