# ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

• Zhu, Hongmei (College of Mathematics and Information Science Henan Normal University)
• Published : 2017.03.31

#### Abstract

In this paper, we study a class of Finsler metrics called general (${\alpha},{\beta}$)-metrics, which are defined by a Riemannian metric ${\alpha}$ and a 1-form ${\beta}$. We show that every general (${\alpha},{\beta}$)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (${\alpha},{\beta}$)-metrics are constructed explicitly.

#### Acknowledgement

Supported by : National Natural Science Foundation of China, Youth Science Fund of Henan Normal University, doctoral scientific research foundation of Henan Normal University

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