论文标题

在一类弱加权的爱因斯坦指标上

On a Class of Weakly Weighted Einstein Metrics

论文作者

Shen, Zhongmin, Zhao, Runzhong

论文摘要

具有不同权重的S-curvature的加权RICCI曲率在Finsler几何形状中起着重要作用,尤其是在控制鳍片歧管体积的情况下。在本文中,我们研究了一般加权的RICCI曲率,并表征了几乎各向同性加权RICCI曲率的Randers指标。

Weighted Ricci curvatures with various weights of the S-curvature have played an important role in Finsler geometry, especially in the control of volumes of Finsler manifolds. In this paper, we study general weighted Ricci curvatures, and characterize Randers metrics of almost isotropic weighted Ricci curvatures.

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