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真空Einstein方程所容许的群及方程的局部不变解
引用本文:朱庆国.真空Einstein方程所容许的群及方程的局部不变解[J].数学物理学报(A辑),1998(Z1).
作者姓名:朱庆国
作者单位:盐城工学院基础部 盐城
摘    要:该文提出李变换群延拓群的概念,并运用纤维丛方法解决了延拓群算子中的系数问题.在此基础上,作者着重求出了真空Einstein方程所容许的群,同时还提出求方程局部不变解的一种可能方案.

关 键 词:延拓群  纤维丛  真空Einstein方程  容许的群  局部不变解

The Concept of Group and Local Invariant Solution of Vacuum Einstein Equation
Zhu Qingguo Inpartment of Basic Science,Yancheng Institute of technology,Yancheng.The Concept of Group and Local Invariant Solution of Vacuum Einstein Equation[J].Acta Mathematica Scientia,1998(Z1).
Authors:Zhu Qingguo Inpartment of Basic Science  Yancheng Institute of technology  Yancheng
Institution:Zhu Qingguo Inpartment of Basic Science,Yancheng Institute of technology,Yancheng 224003
Abstract:In the article, the author advances the concept of grolongation group of Lie transfor-mation group in a visual and pithy way,and resolve the coefficient problem of prolongation op-erator by using the method of fibre bundle,namely Lemma 1.1,Lemma 1.2 and Lamma 1.4.
Keywords:Prolongation group  fibre bundle  vacuum Einstein equation  concept of group  local invariant solution  
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