Differential invariants of the motion group actions
Differential Geometry
2007-12-21 v1
Abstract
Differential invariants of a (pseudo)group action can vary when restricted to invariant submanifolds (differential equations). The algebra is still governed by the Lie-Tresse theorem, but may change a lot. We describe in details the case of the motion group acting on the full (unconstraint) jet-space as well as on some invariant equations.
Cite
@article{arxiv.0712.3500,
title = {Differential invariants of the motion group actions},
author = {Boris Kruglikov and Valentin Lychagin},
journal= {arXiv preprint arXiv:0712.3500},
year = {2007}
}