Yuming Xiao

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

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

collaborators

2 papers

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.GT2015

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…