General-affine invariants of plane curves and space curves

DOI10.21136/CMJ.2019.0165-18MaRDI QIDQ3297006

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Publication date: 2 July 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10926

zbMATH Keywords

variational problemspace curveplane curvegeneral-affine curvaturegeneral-affine group

Mathematics Subject Classification ID

Projective differential geometry (53A20) Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

The maximal curves and heat flow in general-affine geometry ⋮ Solitons of the midpoint mapping and affine curvature

Cites Work

• Motions of curves in the projective plane inducing the Kaup-Kupershmidt hierarchy
• Hamiltonian evolution of curves in classical affine geometries
• Coisotropic variational problems
• Exterior differential systems and the calculus of variations
• Curvature functionals for curves in the equi-affine plane
• Affine differential geometry of plane curves
• Equivalence of Third‐Order Ordinary Differential Equations to Chazy Equations I–XIII
• Generic affine differential geometry of plane curves
• Sextactic points on a simple closed curve
• Reduction for the projective arclength functional
• Integrable equations arising from motions of plane curves
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