14 citations · 97 across the 46 of their papers we have counts for
47 papers
Heintze-Kobayashi-Wolf theory for negatively curved homogeneous Finsler manifolds
Ming Xu
In this paper, we generalize the Heintze-Kobayashi-Wolf theory to homogeneous Finsler geometry, by proving two main theorems. First, any connected negatively curved homogeneous Fin…
Cyclic Finser metrics on homogeneous spaces
Ju Tan, Ming Xu
In this paper, we generalize the notion of cyclic metric to homogeneous Finsler geometry. Firstly, we prove that a homogeneous Finsler space must be symmetric when it sa…
Special left invariant conic Finsler metrics and homogeneous conic Landsberg Problem in two dimension
Ming Xu
In this paper, we study left invariant conic Finsler metrics on the 2-dimensional non-Abelian Lie group with nowhere vanishing spray vector fields, and classify those satisfyin…
Randers and equigeodesics for some compact homogeneous manifolds
Ju Tan, Ming Xu
A smooth curve on is called a Riemannian equigeodesic if it is a homogeneous geodesic for all -invariant Riemannian metrics on . With the -invariant Riemannian met…
Naturally reductive metrics
Ju Tan, Ming Xu
Let be a homogeneous metric on the reductive homogeneous manifold . Firstly, we characterize the natural reductiveness of as a local -product between na…
Submersion and homogeneous spray geometry
Ming Xu
We introduce the submersion between two spray structures and propose the submersion technique in spray geometry. Using this technique, as well as global invariant frames on a Lie g…