Groupoids, Discrete Mechanics, and Discrete Variation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（9）
• 页码范围: 545-550
• 页数: 6页
• 语种: 英文

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 between groupoids variation and the methods of the first and second discrete variational principles.