12 citations · 59 across the 29 of their papers we have counts for
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Recent progress on homogeneous Finsler spaces with positive curvature
Shaoqiang Deng, Ming Xu
This is a survey paper on our recent works concerning the classification of positively curved homogeneous Finsler spaces, and some related topics. At the final part, we present som…
Geodesic and curvature of piecewise flat Finsler surfaces
Ming Xu, Shaoqiang Deng
A piecewise flat Finsler metric on a triangulated surface is a metric whose restriction to any triangle is a flat triangle in some Minkowski space with straight edges. One of t…
Locally 2-fold symmetric manifolds are locally symmetric
Shaoqiang Deng, Vladimir S. Matveev
A manifold is locally \emph{-fold symmetric}, if for any point and any -dimensional vector subspace tangent to this point there exists a local isometry such that this point i…
Rigidity of negatively curved geodesic orbit Finsler spaces
Ming Xu, Shaoqiang Deng
We prove some rigidity results on geodesic orbit Finsler spaces with non-positive curvature. In particular, we show that a geodesic Finsler space with strictly negative flag curvat…
Homogeneous Finsler spaces and the flag-wise positively curved condition
Ming Xu, Shaoqiang Deng
In this paper, we introduce the flag-wise positively curved condition for Finsler spaces (the (FP) Condition), which means that in each tangent plane, we can find a flag pole in th…