86 citations · 91 across the 12 of their papers we have counts for
4 papers · 1 filter
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…