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Isometry Between Two Indefinite Metrics

作者姓名：	吴岚李海中

作者单位：	WU Lan，LI Haizhong Department of Mathematics，People University of China，Beijing 100872，China; Department of Mathematical Sciences，Tsinghua University，Beijing 100084，China

基金项目：	the National Natural Science Foundationof China (No.1970 10 17)

摘要：	Introduction and TheoremGiven two indefinite metrics( quadratic) :I =Edu2 + 2 Fdudv + Gdv2 ,I=Edu2 + 2 Fdudv+ Gdv2 ( 1 )on regions D,D of a plane,the isometry problemis to decide whether there is a transformation:u=u( u,v) ,v=v( u,v) ( 2 )such that after substitutionI=I ( 3)　　The above problem is equivalent to theexistence of the solutions of the following firstorder PDE systems:E uu2 + 2 F uuvu+ G vu2 =E( u,v) ,Euuu…
Isometry Between Two Indefinite Metrics

Abstract:

Keywords:	isometry indefinite metric principal bundle
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