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http://dx.doi.org/10.4134/BKMS.b150784

ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE  

Zhu, Hongmei (College of Mathematics and Information Science Henan Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 399-416 More about this Journal
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
Finsler metric; general (${\alpha},{\beta}$)-metric; isotropic Berwald curvature; S-curvature;
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