Invariants of Surfaces in Three-Dimensional Affine Geometry
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211316 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Invariants of Surfaces in Three-Dimensional Affine Geometry. Örn Arnaldsson and Francis Valiquette. SIGMA 17 (2021), 033, 25 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862644699658977280 |
|---|---|
| author | Arnaldsson, Örn Valiquette, Francis |
| author_facet | Arnaldsson, Örn Valiquette, Francis |
| citation_txt | Invariants of Surfaces in Three-Dimensional Affine Geometry. Örn Arnaldsson and Francis Valiquette. SIGMA 17 (2021), 033, 25 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-15T09:36:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211316 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T09:36:07Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Arnaldsson, Örn Valiquette, Francis 2025-12-29T11:09:43Z 2021 Invariants of Surfaces in Three-Dimensional Affine Geometry. Örn Arnaldsson and Francis Valiquette. SIGMA 17 (2021), 033, 25 pages 1815-0659 2020 Mathematics Subject Classification: 22F05; 53A35; 53A55 arXiv:2009.00670 https://nasplib.isofts.kiev.ua/handle/123456789/211316 https://doi.org/10.3842/SIGMA.2021.033 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. We would like to thank the referees for their valuable comments, which helped improve the exposition of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Invariants of Surfaces in Three-Dimensional Affine Geometry Article published earlier |
| spellingShingle | Invariants of Surfaces in Three-Dimensional Affine Geometry Arnaldsson, Örn Valiquette, Francis |
| title | Invariants of Surfaces in Three-Dimensional Affine Geometry |
| title_full | Invariants of Surfaces in Three-Dimensional Affine Geometry |
| title_fullStr | Invariants of Surfaces in Three-Dimensional Affine Geometry |
| title_full_unstemmed | Invariants of Surfaces in Three-Dimensional Affine Geometry |
| title_short | Invariants of Surfaces in Three-Dimensional Affine Geometry |
| title_sort | invariants of surfaces in three-dimensional affine geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211316 |
| work_keys_str_mv | AT arnaldssonorn invariantsofsurfacesinthreedimensionalaffinegeometry AT valiquettefrancis invariantsofsurfacesinthreedimensionalaffinegeometry |