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ON GENERAL (α, β)-METRICS WITH ISOTROPIC E-CURVATURE
Gabrani, Mehran,Rezaei, Bahman Korean Mathematical Society 2018 대한수학회지 Vol.55 No.2
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 (${\alpha},\;{\beta}$)-metric with isotropic E-curvature, under a certain condition. We also solve the equation in a particular case.
On general $(\alpha,\beta)$-metrics with isotropic $E$-curvature
Mehran Gabrani,Bahman Rezaei 대한수학회 2018 대한수학회지 Vol.55 No.2
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 $(\alpha,\beta)$-metric with isotropic $E$-curvature, under a certain condition. We also solve the equation in a particular case.
ISOTROPIC MEAN BERWALD FINSLER WARPED PRODUCT METRICS
Mehran Gabrani,Bahman Rezaei,Esra Sengelen Sevim 대한수학회 2023 대한수학회보 Vol.60 No.6
It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension $n\geq 2$ is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.