吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

梯度系统的共形不变性与Mei守恒量

刘洪伟   

  1. 东北电力大学 理学院, 吉林 吉林 132012
  • 收稿日期:2015-12-25 出版日期:2016-11-26 发布日期:2016-11-29
  • 通讯作者: 刘洪伟 E-mail:hwliu_99@163.com

Conformal Invariance and Mei ConservedQuantity of Gradient System

LIU Hongwei   

  1. School of Sciences, Northeast Dianli University, Jilin 132012, Jilin Province, China
  • Received:2015-12-25 Online:2016-11-26 Published:2016-11-29
  • Contact: LIU Hongwei E-mail:hwliu_99@163.com

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.

关键词: 共形不变性, 梯度系统, Mei对称性, Mei守恒量

Abstract: 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.

Key words: Mei symmetry, conformal invariance, Mei conserved quantity, gradient system

中图分类号: 

  • O316