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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 033, 25 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.033 (Mi sigma1716) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Invariants of Surfaces in Three-Dimensional Affine Geometry

Örn Arnaldssona, Francis Valiquetteb

a Department of Mathematics, University of Iceland, Reykjavik, Ssn. 600169-2039, Iceland
b Department of Mathematics, Monmouth University, West Long Branch, NJ 07764, USA
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DOI: https://doi.org/10.3842/SIGMA.2021.033
Abstract: Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants is non-trivial, then it is generically generated by a single invariant.
Keywords: affine group, differential invariants, moving frames.
Received: September 3, 2020; in final form March 21, 2021; Published online March 30, 2021
Bibliographic databases:
Document Type: Article
MSC: 22F05, 53A35, 53A55
Language: English
Citation: Örn Arnaldsson, Francis Valiquette, “Invariants of Surfaces in Three-Dimensional Affine Geometry”, SIGMA, 17 (2021), 033, 25 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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