On relation between rational and differential rational invariants of surfaces with respect to the motion groups
Differential Geometry
2015-05-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1505.03623,
title = {On relation between rational and differential rational invariants of surfaces with respect to the motion groups},
author = {Ural Bekbaev},
journal= {arXiv preprint arXiv:1505.03623},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:math/0609252