Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints |
| |
| Institution: | 1. School of Civil Engineering, Qinghai University, Xining 810016, China;2. Qinghai Provincial Key Laboratory of Energy-saving Building Materials and Engineering Safety, Xining 810016, China;3. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China;4. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China |
| |
| Abstract: | The geometric theory of Lin constraints and variational principles in terms of Clebsch variables proposed recently by Cendra and Marsden 1987] will be generalized to include those systems defined not only on configuration spaces which are products of Lie groups and vector spaces but on configuration spaces which are principal bundles with structural group G. This generalization includes, for example, fluids with free boundaries, Yang-Mills fields, and it will be very useful, as it will be shown later, to illustrate some aspects of the theory of particles moving in a Yang-Mills field in both its variational and Hamiltonian aspects. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
