On a class of Ricci-flat Finsler metrics in Finsler geometry

On a class of Ricci-flat Finsler metrics in Finsler geometry
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DOI:
10.1016/j.geomphys.2013.03.009
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发表时间:
2013-08
影响因子:
1.5
通讯作者:
Bin Chen;Z. Shen;Lili Zhao
Bin Chen;Z. Shen;Lili Zhao
中科院分区:
数学3区
文献类型:
--
作者:
Bin Chen;Z. Shen;Lili Zhao

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本文研究一类由流形上的黎曼度量和一种形式定义的Finsler度量。我们完全确定了这类Ricci-Flat度量的局部结构,这些度量也是Douglas型的。
In this paper, we study a class of Finsler metrics defined by a Riemannian metric and a one-form on a manifold. We completely determine the local structure of Ricci-flat metrics in this class which are also of Douglas type.