On 4-flattening theorems and the curves of Carathéodory, Barner and Segre

DOI10.1007/s00022-003-1641-yzbMath1029.51018OpenAlexW2055516729MaRDI QIDQ1407636

Ricardo Uribe-Vargas

Publication date: 16 September 2003

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

Full work available at URL: https://doi.org/10.1007/s00022-003-1641-y

zbMATH Keywords

Legendrian knottangent indicatrixspace curvesBarner curveCarathéodory curvesflatteningsSegre curves

Mathematics Subject Classification ID

Global differential geometry (53C99) Contact manifolds (general theory) (53D10) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15) (n)-vertex theorems via direct methods (51L15)

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Tangent lines, inflections, and vertices of closed curves ⋮ Centroaffine duality for spatial polygons

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