1 citations · 2 across the 4 of their papers we have counts for
4 papers
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 for even second order Hamiltonian systems and convex first order Hamiltonian sy…
The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form
Hui Liu, Yiming Long, Yuming Xiao
Let and be a nontrivial element of finite order in , where the integer , is a finite group which acts freely and isometrically on the -sph…
Resonance identity and multiplicity of non-contractible closed geodesics on Finsler
Hui Liu, Yuming Xiao
In this paper, we establish first the resonance identity for non-contractible homologically visible prime closed geodesics on Finsler -dimensional real projective space $(\mathb…
Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions
Yuming Xiao, Yiming Long
In this paper, we use Chas-Sullivan theory on loop homology and Leray-Serre spectral sequence to investigate the topological structure of the non-contractible component of the free…