Bulletin of the Korean Mathematical Society (대한수학회보)

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ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

  • Zhu, Hongmei (College of Mathematics and Information Science Henan Normal University)
  • Received : 2015.09.23
  • Published : 2017.03.31
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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.

Keywords

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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