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math.DG2023
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…
math.DG2023
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…