Invariants of Surfaces in Three-Dimensional Affine Geometry

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dc.contributor.authorArnaldsson, Örn
dc.contributor.authorValiquette, Francis
dc.date.accessioned2025-12-29T11:09:43Z
dc.date.issued2021
dc.description.abstractUsing 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.
dc.description.sponsorshipWe would like to thank the referees for their valuable comments, which helped improve the exposition of the paper.
dc.identifier.citationInvariants of Surfaces in Three-Dimensional Affine Geometry. Örn Arnaldsson and Francis Valiquette. SIGMA 17 (2021), 033, 25 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.033
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 22F05; 53A35; 53A55
dc.identifier.otherarXiv:2009.00670
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211316
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleInvariants of Surfaces in Three-Dimensional Affine Geometry
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік