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J. Korean Math. Soc. 2018; 55(2): 415-424
Online first article December 19, 2017 Printed March 1, 2018
https://doi.org/10.4134/JKMS.j170277
Copyright © The Korean Mathematical Society.
On general $(\alpha,\beta)$-metrics with isotropic $E$-curvature
Mehran Gabrani, Bahman Rezaei
Urmia University, Urmia University
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.
Keywords: Finsler metric, general $(\alpha,\beta)$-metric, isotropic $E$-curvature
MSC numbers: Primary 53C60, 53C25
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