Curves in affine and semi-Euclidean spaces

DOI10.1007/s00025-013-0343-5zbMath1330.53017OpenAlexW1969368047MaRDI QIDQ480896

Liu Hui-Li

Publication date: 12 December 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0343-5

zbMATH Keywords

curvature functionrectifying curvesemi-Euclidean spacecentroaffine curvecone curvespherical curve

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

Related Items (5)

Riccati equations and cone curves in Minkowski 3-space ⋮ Moving frames and differential invariants on fully affine planar curves ⋮ Curves in three dimensional Riemannian space forms ⋮ Singularities for one-parameter null hypersurfaces of anti-de Sitter spacelike curves in semi-Euclidean space ⋮ Associated spherical partner of space curve in Euclidean 3-space

Cites Work

• Centroaffine space curves with constant curvatures and homogeneous surfaces
• Representation formulas of curves in a two- and three-dimensional lightlike cone
• The fundamental theorems of curves and hypersurfaces in centro-affine geometry
• Curves in the lightlike cone
• Ruled surfaces with lightlike ruling in 3-Minkowski space
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
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