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 …

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 recent studies, it is shown that the theory of fourth root metrics plays a very important role
in physics, theory of space-time structures, gravitation, and general relativity. The class of …

Abstract General (${\alpha},\;{\beta} $)-metrics form a rich and important class of Finsler
metrics. In this paper, we obtain a differential equation which characterizes a general …

We consider Matsumoto change of Finsler metrics. First, we find a condition under which the
Matsumoto change of a Finsler metric is projectively related to it. Then, considering the …

In this paper, we consider exponential change of Finsler metrics. First, we find a condition
under which the exponential change of a Finsler metric is projectively related to it. Then we …

The theory of m th root Finsler metrics has been applied to Biology, Ecology, Gravitation,
Seismic ray theory, etc. It is regarded as a direct generalization of Riemannian metric in a …

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In this paper, we study the class of cubic (\alpha,\beta)-metrics. We show that every weakly
Landsberg cubic (\alpha,\beta)-metric has vanishing S-curvature. Using it, we prove that …

In the present paper, we consider a class of Finsler metrics F for which geodesic spray
coefficients are rational function in y. It is proved that if a Finsler metric of this class is …