In this paper, we will investigate the S-curvature, the Landsberg curvature, mean Landsberg
curvature, Cartan torsion and mean Cartan torsion for recently introduced (α, β)(α, β)-metric …

The S-curvature is an important non-Riemannian quantity in Finsler geometry. In this paper,
we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a …

Abstract The non-Riemannian quantity ${\bf H} $ was introduced by Akbar-Zadeh to
characterization of Finsler metrics of constant flag curvature. In this paper, we study two …

On Finsler metrics with vanishing S-curvature Page 1 Turkish Journal of Mathematics Volume 38
Number 1 Article 14 1-1-2014 On Finsler metrics with vanishing S-curvature AKBAR TAYEBI …

On some dually flat Finsler metrics with orthogonal invariance - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download …

ON A CLASS OF LOCALLY DUALLY FLAT (α, β)-METRICS 1. Introduction Page 1 ÓDOI:
10.1515/ms-2015-0016 Math. Slovaca 65 (2015), No. 1, 191–198 ON A CLASS OF LOCALLY …

Dually flat Finsler metrics arise from information geometry which has attracted some
geometers and statisticians. In this paper, we study dually flat general spherically symmetric …

In the present paper, we consider the Kropina-Randers change of mth root Finsler metric.
Firstly, we find the fundamental metric tensors of the Kropina-Randers transformed mth root …

The notion of dually flat metrics was first introduced by S.-I. Amari and H. Nagaoka [2] when
they studied the information geometry on Riemannian spaces. Later on, Z. Shen extends the …

In this paper, we first study a special class of (α, β)-metrics in the form F= α+ εβ+ k β2/α,
where α is Riemannian metric, β is a 1-form, and ε, k (≠ 0) are constant. We give a complete …