共形平坦的Randers度量

2011Scientia Sinica MathematicaPhysics and Astronomy被引 10开放获取

摘要

In this paper, the properties of conformally flat Randers metrics are studied. It is proved that any conformally flat Randers metric of scalar curvature is projectively flat. Moreover, the complete classification of such Randers metrics is given. It is also shown that there is no non-trivial conformally flat Randers metrics of almost isotropic S-curvature.

引用本文（GB/T 7714）

Lin Kang. 共形平坦的Randers度量[J]. Scientia Sinica Mathematica, 2011.

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DOI：https://doi.org/10.1360/012010-910

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