5 citations · 18 across the 15 of their papers we have counts for
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Homogeneous Finsler spaces with only one orbit of prime closed geodesics
Ming Xu
When a closed Finsler manifold admits continuous isometric actions, estimating the number of orbits of prime closed geodesics seems a more reasonable substitution for estimating th…
Geodesic orbit Finsler metrics on Euclidean spaces
Ming Xu, Shaoqiang Deng, Zaili Yan
A Finsler space is called a geodesic orbit space if any geodesic of constant speed is the orbit of a one-parameter subgroup of isometries of . In this paper, we stu…
Geodesic orbit spheres and constant curvature in Finsler geometry
Ming Xu
In this paper, we generalize the classification of geodesic orbit spheres from Riemannian geometry to Finsler geometry. Then we further prove if a geodesic orbit Finsler sphere has…
Finsler spheres with constant flag curvature and finite orbits of prime closed geodesics
Ming Xu
In this paper, we consider a Finsler sphere with the dimension and the flag curvature . The action of the connected isometry group on…
The number of geometrically distinct reversible closed geodesics on a Finsler sphere with
Ming Xu
In this paper we study the Finsler sphere with , which has constant flag curvature and only finite prime closed geodesics. In this case, the connected is…