Affine Classification of n-Curves
Differential Geometry
2012-03-13 v3
Abstract
Classification of curves up to affine transformation in a finite dimensional space was studied by some different methods. In this paper, we achieve the exact formulas of affine invariants via the equivalence problem and in the view of Cartan's lemma and then, state a necessary and sufficient condition for classification of n--Curves.
Cite
@article{arxiv.0710.2662,
title = {Affine Classification of n-Curves},
author = {Mehdi Nadjafikhah and Ali Mahdipour Shirayeh},
journal= {arXiv preprint arXiv:0710.2662},
year = {2012}
}
Comments
8 pages, accepted by "vol. 13 / 2008 of the journal Balkan Journal of Geometry and Its Applications"