%0 Journal Article
%T On relation between rational and differential rational invariants of surfaces with respect to the motion groups
%A Ural Bekbaev
%J Mathematics
%D 2015
%I arXiv
%X The description of invariants of surfaces with respect to the motion groups is reduced to the description of invariants of parameterized surfaces with respect to the motion groups. Existence of a commuting system of invariant partial differential operators (derivatives) and a finite system of invariants, such that any invariant of the surface is a function of these invariants and their invariant derivatives, is shown. The offered method is applicable in more general settings than the "Moving Frame Method" does in differential geometry.
%U http://arxiv.org/abs/1505.03623v1