Invariants of Surfaces in Three-Dimensional Affine Geometry

Örn Arnaldsson ; Francis Valiquette

Symmetry, integrability and geometry: methods and applications, Tome 17 (2021)

Résumé

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.

Détail

Keywords: differential invariants, moving frames.
Mots-clés : affine group

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