A geometric approach to constrained mechanical systems, symmetries and inverse problems

被引：15

作者：

Morando, P

Vignolo, S

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 40期

关键词：

D O I：

10.1088/0305-4470/31/40/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a geometrical framework for the description of constrained mechanical systems, and we analyse different kinds of symmetries and their relationships. We propose a new definition for non-holonomic Lagrangian mechanical systems, and we give a geometrical characterization for the Helmholtz conditions related to the inverse problem.

引用

页码：8233 / 8245

页数：13