| 共形平坦的Randers度量 |
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| 引用本文： | 康琳.共形平坦的Randers度量[J].中国科学:数学,2011,41(5):439-446. |
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| 作者姓名： | 康琳 |
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| 作者单位： | 浙江大学数学系, 杭州310027 |
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| 基金项目： | 国家自然科学基金(批准号:108717117)资助项目 |
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| 摘 要： | 本文研究共形平坦的Randers 度量的性质. 证明了具有数量旗曲率的共形平坦的Randers 度量都是局部射影平坦的, 并且给出了这类度量的分类结果. 本文还证明了不存在非平凡的共形平坦且具有近迷向S 曲率的Randers 度量.
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| 关 键 词： | 共形平坦 Randers 度量 数量旗曲率 迷向S曲率 |
On conformally flat Randers metrics |
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| KANG Lin.On conformally flat Randers metrics[J].Scientia Sinica Mathemation,2011,41(5):439-446. |
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| Authors: | KANG Lin |
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| Abstract: | 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. |
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| Keywords: | conformally flat Randers metric scalar flag curvature isotropic S-curvature |
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