86 citations · 91 across the 12 of their papers we have counts for
12 papers · 1 filter
On Riemann curvature of singular square metrics
Changtao Yu
Square metrics is an important class of Finsler metrics. Recently, we introduced a special class of non-regular Finsler metrics called singular square metrics. The main purpose of…
Some remarks on Einstein-Randers metrics
Xiaoyun Tang, Changtao Yu
In this essay, we study the sufficient and necessary conditions for a Randers metrc to be of constant Ricci curvature without the restriction of strong convexity (regularity). The…
On singular square metrics with vanishing Douglas curvature
Changtao Yu, Hongmei Zhu
Square metrics are a special class of Finsler metrics. It is the rate kind of metric category to be of excellent geometrical properties. In this paper, we discu…
Douglas metrics of (α,β) type
Changtao Yu
In this paper, the Douglas curvature of (α,β)-metrics, a special class of Finsler metrics defined by a Riemannian metric αand a 1-form β, is studied. These metrics with vanishing D…
Projectively flat general -metrics with constant flag curvature
Changtao Yu, Hongmei Zhu
In this paper we study the flag curvature of a particular class of Finsler metrics called general -metrics, which are defined by a Riemannian metric and a -form .…
On dually flat general -metrics
Changtao Yu
In this work, the dual flatness, which is connected with Statistics and Information geometry, of general -metrics (a new class of Finsler metrics) is studied. A nice charact…
On a class of Einstein Finsler metrics
Zhongmin Shen, Changtao Yu
In this paper, we study a class of Finsler metrics called general (α,β)-metrics, which are defined by a Riemannian metric and an 1-form. We construct some general (α,β)-metrics wit…
On dually flat -metrics
Changtao Yu
In this paper, I will show how to use -deformations to deal with dual flatness of -metrics. It is a natural continuation of the research on dually flat Randers metrics(se…
On Einstein square metrics
Zhongmin Shen, Changtao Yu
In this paper, we study an important class of Finsler metrics--square metrics. We give two expressions of such metrics in terms of a Riemannian metric and a 1-form. We show that Ei…
On dually flat Randers metrics
Changtao Yu
In this paper, I will show how to use beta-deformations to deal with dual flatness of Randers metrics. beta-deformations is a new method in Riemann-Finsler geometry, it is introduc…
On a new class of Finsler metrics
Changtao Yu, Hongmei Zhu
In this paper, the geometric meaning of (alpha,beta)-norms is made clear. On this basis, we introduce a new class of Finsler metrics called general (alpha,beta)-metrics, which are…
Deformations and Hilbert's Fourth Problem
Changtao Yu
In this paper we study a class of Finsler metrics defined by a Riemannian metric and an 1-form. We classify those of projectively flat in dimension by a special class of d…