3 papers
math.DG2025
Left invariant complex Finsler metrics on a complex Lie group
Xiyun Xu, Ming Xu
In this paper, we consider a left invariant complex Finsler metric on a complex Lie group. Using the technique of invariant frames, we prove the following properties for $(G,F)…
math.DG2025
Very standard homogeneous Finsler manifolds with positive flag curvature
Xiyun Xu, Ming Xu
In this paper, we consider a homogeneous manifold in which is a compact connected simply connected simple Lie group and is a closed connected subgroup of . We defi…
math.DG2024
Geodesic orbit and weak symmetric spray manifolds
Xiyun Xu, Ming Xu
In this paper, we introduce the geodesic orbit and weakly symmetric properties in homogeneous spray geometry. When a homogeneous spray manifold is endowed with a reductive decompos…