Complete Systems of Galileo Invariants of a Motion of Parametric Figure in the Three Dimensional Euclidean Space

DOI10.36890/iejg.1091348zbMath1506.53014OpenAlexW4307585463MaRDI QIDQ5058099

Djavvat Khadjiev, Unnamed Author, İdris Ören

Publication date: 2 December 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1091348

zbMATH Keywords

invariantEuclidean geometryGalilean groupfigure

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Quadratic and bilinear forms, inner products (15A63) Differential invariants (local theory), geometric objects (53A55)

Cites Work

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• The complete system of global differential and integral invariants of a curve in Euclidean geometry
• \(m\)-point invariants of real geometries
• Identifications of paths and curves under the plane similarity transformations and their applications to mechanics
• General dynamical equations for free particles and their Galilean invariance
• Complete systems of invariant of m-tuples for fundamental groups of the two-dimensional Euclidian space
• GENERALIZED GALILEI-INVARIANT CLASSICAL MECHANICS

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