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OALib Journal期刊
ISSN: 2333-9721
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某类\,Finsler-Einstein\,空间之间的共形映射
, PP. 160-166
Keywords: Einstein空间,共形映射,Randers度量,Kropina度量
Abstract:
Liouville\,定理证明了欧氏空间到自身的共形变换是莫比乌斯变换.关于\,Riemann\,空间，Brinkmann\,首先得到了一般的结论.但对\,Finsler\,空间的研究乏人问津.本文运用导航术和共形映射的性质证明了\,Randers\,空间(或\,Kropina\,空间)之间保Einstein度量的共形变换必是相似变换.
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