摘要
定义相对论性Pfaff作用量.得到相对论性Pfaff-Birkhoff原理和相对论性Birkhoff方程.证明了自治形式和半自治形式的相对论性Birkhoff方程具有相容代数结构和Lie代数结构;一般非自治形式的相对论性Birkhoff方程没有代数结构.研究一种特殊的非自治形式的相对论性Birkhoff方程,它具有相容代数结构和Lie容许代数结构.给出相对论性Birkhoff方程的Poisson积分方法.最后给出应用性实例.
Defining Pfaff action of relativistic systems, The Pfaff-Birkhoof principle and the Birkhoof's equation for relativistic systems are obtained. We prove that the au-tonomous Birkhoof equation of relativistic systems and the semi-autonomous Birkhoof's e-quation for relativistic systems have compatible algebraic structure and Lie's algebraic structure; and the non-autonomous Birkhoof's equation for the relativistic systems haven't algebraic structure in general. We study a special non-autonomous Birkhoof's equation for relativistic systems having compatible algebraic structure and Lie's admitted algebraic structure . The Poisson's integrals procedure of the Birkhoof's equation for relativistic systems are given. At last an example is given.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2001年第1期70-78,共9页
Acta Mathematica Scientia
基金
国家自然科学基金资助项目(19972010)
河南省自然科学基金资助项目(984053100)