Yuming Xiao

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20152024

most citedThe existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

1 citations · 2 across the 4 of their papers we have counts for

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math.DS2024

The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition

Yuming Xiao, Gaosheng Zhu

In this paper, we prove the existence of periodic solutions with any prescribed minimal period $T > 0$ for even second order Hamiltonian systems and convex first order Hamiltonian sy…

math.DS2017★ 1 cited

The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

Hui Liu, Yiming Long, Yuming Xiao

Let $M = S^{n} /Γ$ and $h$ be a nontrivial element of finite order $p$ in $π_{1} (M)$ , where the integer $n \geq 2$ , $Γ$ is a finite group which acts freely and isometrically on the $n$ -sph…

math.DS2016★ 1 cited

Resonance identity and multiplicity of non-contractible closed geodesics on Finsler $R P^{n}$

Hui Liu, Yuming Xiao

In this paper, we establish first the resonance identity for non-contractible homologically visible prime closed geodesics on Finsler $n$ -dimensional real projective space $(\mathb…

The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition

The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

Resonance identity and multiplicity of non-contractible closed geodesics on Finsler RPn

Resonance identity and multiplicity of non-contractible closed geodesics on Finsler $R P^{n}$