Hui Liu

activity

20172021

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

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2021

Multiplicity and stability of closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $R^{2 n}$

Hui Liu

Let $Σ$ be a compact convex hypersurface in $R^{2 n}$ which is P-cyclic symmetric, i.e., $x \in Σ$ implies $P x \in Σ$ with P being a $2 n \times 2 n$ symplectic orthogonal matrix and…

math.DS2019

Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $R^{2 n}$

Hui Liu, Chongzhi Wang, Duanzhi Zhang

Let $Σ$ be a compact convex hypersurface in $R^{2 n}$ which is P-cyclic symmetric, i.e., $x \in Σ$ implies $P x \in Σ$ with P being a $2 n \times 2 n$ symplectic orthogonal matrix and…

math.DG2018

Closed geodesics on positively curved spheres $S^{n}$ with Finsler metric induced by $(R P^{n}, F)$

Hui Liu, Wei Wang

It's well known that the n-sphere $S^{n}$ is the universal double covering of the $n$ -dimensional real projective space $R P^{n}$ and then any Finsler metric on $R P^{n}$ …

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…

Multiplicity and stability of closed characteristics on compact convex P-cyclic symmetric hypersurfaces in R2n

Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in R2n

Closed geodesics on positively curved spheres Sn with Finsler metric induced by (RPn,F)

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

Multiplicity and stability of closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $R^{2 n}$

Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $R^{2 n}$

Closed geodesics on positively curved spheres $S^{n}$ with Finsler metric induced by $(R P^{n}, F)$