论文标题
一类弱加权的爱因斯坦 - 芬斯勒指标的表征
The characterizations on a class of weakly weighted Einstein-Finsler metrics
论文作者
论文摘要
在本文中，我们研究了弱加权的爱因斯坦 - 芬斯勒指标。首先，我们表明爱因斯坦 - 克罗皮纳（Einstein-Kropina）指标必须相对于Busemann-Hausdorff体积形式在一定条件下，涉及重量常数。然后，我们分别通过其导航表达式或分别通过$α$和$β$来完全表征弱加权的爱因斯坦 - 克罗皮纳指标。
In this paper, we study the weakly weighted Einstein-Finsler metrics. First, we show that weakly weighted Einstein-Kropina metrics must be of isotropic S-curvature with respect to the Busemann-Hausdorff volume form under a certain condition about the weight constants. Then we characterize weakly weighted Einstein-Kropina metrics completely via their navigation expressions or via $α$ and $β$ respectively.
