The complete system of global integral and differential invariants for equi-affine curves.

DOI10.1016/j.difgeo.2003.10.005zbMath1050.53016OpenAlexW2046008670WikidataQ115358108 ScholiaQ115358108MaRDI QIDQ1426669

Ömer Pekşen, Djavvat Khadjiev

Publication date: 15 March 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2003.10.005

zbMATH Keywords

differential invariants of curvesequiaffine curve theoryunimodular equivalence of curves

Mathematics Subject Classification ID

Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55)

Related Items (9)

Equivalence of paths in some non-Euclidean geometry ⋮ Affine invariants of an immersion of a topological space in the \(n\)-dimensional real vector space ⋮ Equivalence of paths in Galilean geometry ⋮ Global invariants of paths and curves in the two-dimensional real vector space for linear similarity groups generated by dual numbers ⋮ Recognition of Paths and Curves in the 2-Dimensional Euclidean Geometry ⋮ Some invariant properties of curves in the taxicab geometry ⋮ On invariants of null curves in the pseudo-Euclidean geometry ⋮ A transcendence basis in the differential field of invariants of pseudo-Galilean group ⋮ Equivalence of curves with respect to the action of the symplectic group

Cites Work

• Begleitfiguren und Invariantensystem minimaler Differentiationsordnung von Kurven im reellen \(n\)-dimensionalen affinen Raum
• The fundamental theorems of curves and hypersurfaces in centro-affine geometry
• Generic affine differential geometry of space curves
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