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Mathematics > Differential Geometry

arXiv:0710.2662 (math)
[Submitted on 14 Oct 2007 (v1), last revised 26 Jan 2008 (this version, v3)]

Title:Affine Classification of n-Curves

Authors:Mehdi Nadjafikhah, Ali Mahdipour Shirayeh
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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.
Comments: 8 pages, accepted by "vol. 13 / 2008 of the journal Balkan Journal of Geometry and Its Applications"
Subjects: Differential Geometry (math.DG)
MSC classes: 53A15, 53A04, 53A55
Cite as: arXiv:0710.2662 [math.DG]
  (or arXiv:0710.2662v3 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0710.2662
Journal reference: Balkan Journal of Geometry and Its Applications, 13(2): pp. 66-73, 2008

Submission history

From: Mehdi Nadjafikhah [view email]
[v1] Sun, 14 Oct 2007 14:11:44 UTC (6 KB)
[v2] Tue, 23 Oct 2007 14:46:03 UTC (7 KB)
[v3] Sat, 26 Jan 2008 08:47:16 UTC (7 KB)
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