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20152023
most citedSp(2)/U(1) and a Positive Curvature Problem

5 citations · 18 across the 14 of their papers we have counts for

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22 papers · 1 filter

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.DG2022

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…

math.DG2021

Isoparametric hypersurfaces induced by navigation in Lorentz Finsler geometry

Ming Xu, Ju Tan, Na Xu

Using a navigation process with the datum , in which is a Finsler metric and the smooth tangent vector field satisfies everywhere, a Lorentz Finsler met…

math.DG20213 cited

Left invariant spray structure on Lie group

Ming Xu

We use the technique of invariant frames to study a left invariant spray structure on a Lie group, and calculate its S-curvature and Riemann curvature, which generalizes the corres…

math.DG2020

Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere

Ming Xu

Let be an isoparametric foliation on the unit sphere with principal curvature values. Using the spherical coordinates induced by , we…

math.DG2019

Geodesic orbit Finsler space with and the (FP) condition

Ming Xu

In this paper, we study the interaction between the geodesic orbit (g.o.~in short) property and certain flag curvature conditions. A Finsler manifold is called g.o.~if each constan…