Invariants of Surfaces in Three-Dimensional Affine Geometry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Arnaldsson, Örn, Valiquette, Francis
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211316
• 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

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...