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ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE
2017
Bulletin of the Korean Mathematical Society
In this paper, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1form β. We show that every general (α, β)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (α, β)-metrics are constructed explicitly.
doi:10.4134/bkms.b150784
fatcat:p4o5vwhxmbeorjgaalbb7rpx5i