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某类\,Finsler-Einstein\,空间之间的共形映射

张晓玲

张晓玲. 某类\,Finsler-Einstein\,空间之间的共形映射[J]. 华东师范大学学报(自然科学版), 2013, (2): 160-166.
引用本文: 张晓玲. 某类\,Finsler-Einstein\,空间之间的共形映射[J]. 华东师范大学学报(自然科学版), 2013, (2): 160-166.
ZHANG Xiao-ling. Conformal transformation between some Finsler Einstein spaces[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 160-166.
Citation: ZHANG Xiao-ling. Conformal transformation between some Finsler Einstein spaces[J]. Journal of East China Normal University (Natural Sciences), 2013, (2): 160-166.

某类\,Finsler-Einstein\,空间之间的共形映射

详细信息
  • 中图分类号: O18

Conformal transformation between some Finsler Einstein spaces

  • 摘要: 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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出版历程
  • 收稿日期:  2012-04-01
  • 修回日期:  2012-07-01
  • 刊出日期:  2013-03-25

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