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math.DG2012
On Einstein Kropina metrics
Xiaoling Zhang, Yi-Bing Shen
In this paper, a characteristic condition of Einstein Kropina metrics is given. By the characteristic condition, we prove that a non-Riemannian Kropina metric with…
math.DG2012
On Einstein Matsumoto metrics
Yi-Bing Shen, Xiaoling Zhang
In this paper, the necessary and sufficient conditions for Matsumoto metrics to be Einstein are given. It is shown that if the length of with respect to …