摘要
After introducing some of the basic definitions and results from the theory of groupoid and Lie algebroid,we investigate the discrete Lagrangian mechanics from the viewpoint of groupoid theory and give the connection betweengroupoids variation and the methods of the first and second discrete variational principles.
After introducing some of the basic definitions and results from the theory of groupoid and Lie algebroid, we investigate the discrete Lagrangian mechanics from the viewpoint of groupoid theory and give the connection between groupoids variation and the methods of the first and second discrete variational principles.
基金
National Key Basic Research Project of China under Grant No.2004CB318000
National Natural Science Foundation of China under Grant Nos.10375038 and 90403018
关键词
广群
离散力学
离散变化原理
物理学
groupoids, Lie algebroids, discrete field, discrete variational principle
