Bull. Korean Math. Soc. 2017; 54(2): 399-416
Online first article March 20, 2017 Printed March 31, 2017
https://doi.org/10.4134/BKMS.b150784
Copyright © The Korean Mathematical Society.
Hongmei Zhu
Henan Normal University
In this paper, we study a class of Finsler metrics called general $\ab$-metrics, which are defined by a Riemannian metric $\a$ and a $1$-form $\b$. We show that every general $\ab$-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general $\ab$-metrics are constructed explicitly.
Keywords: Finsler metric, general $\ab$-metric, isotropic Berwald curvature, $S$-curvature
MSC numbers: 53B40, 53C60
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