关于“共形对应”定理证明之浅见  

An Opinion about the Proving the Theorem of Conformal Correspond

作　　者：白克志[1] 

机构地区：[1]柳州职业技术学院基础部,广西柳州545006

出　　处：《陕西教育学院学报》2004年第3期112-113,共2页Journal of Shaanxi Institute of Education

摘　　要：在证明"共形对应"定理时,把ν视为复值函数,自变量应理解为(u,ν),是两个实的变量,而不是一个复数z=u+tν,否则,在一般情况下,即F≠0,不存在非零的(复的)积分因子μ,使下面的式子　　μ[Edu+(F+F2-EG)dν]=dν=d u+id ν成立.In proving the theorem of conformal correspond, ν is thought of as complex functions,and independent variable as (u,ν),which is the two real variable instead of a complex number z=u+iν. Otherwise, in general case, that is,F≠0, there's no (complex) integrating-factor μ(μ≠0),and the following formula can be formed:μ[Edu+(F+F^2-EG)dν]=dν=d+id.

关 键 词：微分几何 复值函数 实变量 “共形对应”定理 

分 类 号：O186.1[理学—数学] O174.5[理学—基础数学]