On generalized 4-th root metrics of isotropic scalar curvature

A Tayebi - Mathematica Slovaca, 2018 - degruyter.com
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 …

Four families of projectively flat Finsler metrics with and their non-Riemannian curvature properties

A Tayebi, M Razgordani - Revista de la Real Academia de Ciencias …, 2018 - Springer
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 …

[PDF][PDF] Characterization of weakly Berwald fourth root metrics

N Abazari, TR Khoshdani - Ukrains' kyi Matematychnyi Zhurnal, 2019 - umj.imath.kiev.ua
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 …

On the theory of -th root Finsler metrics

A Tayebi - Tbilisi Mathematical Journal, 2019 - projecteuclid.org
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 …

On Einstein-reversible th root Finsler metrics

J Majidi, A Tayebi, A Haji-Badali - International Journal of Geometric …, 2023 - World Scientific
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 …

On Conformally Flat Cubic (α,β )-Metrics

A Tayebi, M Razgordani, B Najafi - Vietnam Journal of Mathematics, 2021 - Springer
On Conformally Flat Cubic (α,β )-Metrics | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Vietnam …

On quintic (α, β)-metrics in Finsler geometry

J Majidi, A Haji-Badali - Journal of Finsler Geometry and its …, 2024 - jfga.uma.ac.ir
In this paper, we study the class of quintic (α, β)-metrics. We show that every weakly
Landsberg 5-th root (α, β)-metrics has vanishing S-curvature. Using it, we prove that a …

ON CUBIC (\alpha,\beta)-METRICS IN FINSLER GEOMETRY

HT Vishkaei, A Tayebi - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
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 …

[PDF][PDF] On Finsler spaces with rational spray coefficients

B Tiwari, GK Prajapati… - Differential Geometry …, 2019 - researchgate.net
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 …

[PDF][PDF] CHARACTERIZATION OF WEAKLY BERWALD FOURTH ROOT METRICS ХАРАКТЕРИЗАЦIЯ СЛАБКИХ ЧОТИРИКОРЕНЕВИХ МЕТРИК БЕРВАЛЬДА

TR Khoshdani, N Abazari - jnas.nbuv.gov.ua
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 …