Centroaffine space curves with constant curvatures and homogeneous surfaces

DOI10.1007/S00022-012-0105-7zbMath1252.53008OpenAlexW1968947617MaRDI QIDQ434312

Na Hu

Publication date: 10 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00022-012-0105-7

zbMATH Keywords

centroaffine curvaturescentroaffine homogeneous curvescentroaffine homogeneous surfacescentroaffine space curves

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (2)

Moving frames and differential invariants on fully affine planar curves ⋮ Curves in affine and semi-Euclidean spaces

Cites Work

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• The fundamental theorems of curves and hypersurfaces in centro-affine geometry
• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Centroaffinely homogeneous surfaces in \(\mathbb{R}^ 3\)
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?

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