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中文摘要：
本文主要研究共形平坦的（α,β）-度量.通过共形相关的Finsler度量间其测地系数间的关系,得到了（α,β）-度量是共形平坦的充分必要条件,并构造了若干共形平坦（α,β）-度量的例子.在此基础上,发现共形平坦且具有迷向S-曲率的（α,β）-度量一定是Minkowski度量或Riemann度量.
英文摘要：
In this paper, we mainly study conformally flat （α, β）-metrics. From the relationship between the sprays of two conformally flat （α, β）-metrics, we obtain the sufficient and necessary conditions for （α, β）-metrics to be conformally flat and construct some examples of conformally flat （α, β）-metrics.Based on these conditions we find that if a conformally flat （α, β）-metric is of isotropic S-curvature then it is either a locally Minkowski metric or a Riemann metric.
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