The theory of 4-th root metrics plays an important role in Biology, General Relativity and
Seismic Ray Theory. Using the Shen's sy-separating trick, we prove that every conformally …

In this paper, we consider a class of Finsler metrics which obtained by Kropina change of the
class of generalized m-th root Finsler metrics. We classify projectively flat Finsler metrics in …

By an interesting physical perspective and a suitable contraction of the Riemannian
curvature tensor in Finsler geometry, Akbar-Zadeh introduced the notion of scalar curvature …

Dans cette Note, nous montrons que toutes les métriques de Finsler racines m-ièmes ayant
une courbure de Landsberg isotrope se réduisent à une métrique de Landsberg. Nous …

For the first time, Bryant introduced a locally projectively flat non-Riemannian Finsler metric
with flag curvature K= 1 K= 1 on S^ 2 S 2. In this paper, we construct four new non …

In this paper, we characterize locally dually flat generalized m-th root Finsler metrics. Then
we find a condition under which a generalized m-th root metric is projectively related to a m …

In this paper, we prove that every non-Riemannian 4-th root metric of isotropic scalar
curvature has vanishing scalar curvature. Then, we show that every 4-th root metric of …

In this paper, we consider Kropina change of $ m $-th root Finsler metrics. We find
necessary and sufficient condition under which the Kropina change of an $ m $-th root …

In this paper, we define some non-Riemannian curvature properties for Cartan spaces. We
consider a Cartan space with the m th root metric. We prove that every m th root Cartan …

We prove that every m-th root metric with isotropic mean Berwald curvature reduces to a
weakly Berwald metric. Then we show that an m-th root metric with isotropic mean …