Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735901 | Reports on Mathematical Physics | 2005 | 22 Pages |
Abstract
Dynamical models with degrees of freedom ruled by linear and affine groups have been discussed in various aspects by many people, e.g. O. I. Bogoyavlensky [7] and J. J. SÅawianowski [4, 5]. We concentrate on models with degenerate dimension, when the configuration space consists of injections from âm into ân. Equations of motion are derived with special stress on the stationary solutions (stationary ellipses). The isotropic models are related in an interesting way to the theory of Grassmann and stiefel manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ewa Eliza Rożko,