梯度系统的共形不变性与Mei守恒量  

Conformal Invariance and Mei Conserved Quantity of Gradient System

作　　者：刘洪伟[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《吉林大学学报（理学版）》2016年第6期1345-1349,共5页Journal of Jilin University:Science Edition

基　　金：吉林省科技发展计划项目(批准号:20130101065JC);吉林省教育厅"十三五"科学技术研究项目(批准号:吉教科合字2016第78号);东北电力大学博士科研启动基金(批准号:BSJXM-201425)

摘　　要：考虑梯度系统在无限小变换下的Mei对称性与共形不变性.给出梯度系统Mei对称性的定义和确定方程及其导致的Mei守恒量,并给出梯度系统的共形不变性同时是Mei对称性的充分必要条件,得到了梯度系统共形不变性通过Mei对称性导致的Mei守恒量.The conformal invariance and Mei symmetry of the gradient system under infinitesimal transformations were considered. The author gave the definition and determining equations of Mei symmetry and Mei conserved quantity of the gradient system. The necessary and sufficient condition that conformal invariance of the gradient system would be Mei symmetry was given. Mei conserved quantity deduced from conformal invariance was obtained by making use of Mei symmetry.

关 键 词：梯度系统 共形不变性 MEI对称性 MEI守恒量 

分 类 号：O316[理学—一般力学与力学基础]