Ming Xu

collaborators

6 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 $F$ on a complex Lie group. Using the technique of invariant frames, we prove the following properties for $(G,F)…

math.DS2025

Assouad and quasi-Assouad dimensions of Moran sets

Junjie Miao, Minghui Xu

Moran sets are a non-autonomous generalization of self-similar sets. In this paper, we study the quasi-Assouad and Assouad dimensions of Moran sets in $R^{d}$ . First we pr…

math.DG2025

A counter example for the Homogeneity Conjecture

Ming Xu, Shaoqiang Deng

We construct a counter example to show that the Homogeneity Conjecture, first proposed by J.A. Wolf in 1962, is not true. To be precise, we prove that on the Lie group Sp(2), there…

math.DG2025

Very standard homogeneous Finsler manifolds with positive flag curvature

Xiyun Xu, Ming Xu

In this paper, we consider a homogeneous manifold $G / H$ in which $G$ is a compact connected simply connected simple Lie group and $H$ is a closed connected subgroup of $G$ . 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…

math.DG2024

Conformal vector fields on compact connected homogeneous Finsler manifolds

Ming Xu

Let $(M, F)$ be a compact connected homogeneous non-Riemannian Finsler manifold with $dim M > 1$ . We prove that any conformal vector field on $(M, F)$ is a Killing vector field. Furth…