Mathematics – Differential Geometry
Scientific paper
2007-12-20
Mathematics
Differential Geometry
Scientific paper
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 $O(n)\ltimes\R^n$ acting on the full (unconstraint)
jet-space as well as on some invariant equations.
Kruglikov Boris
Lychagin Valentin
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