Generic affine differential geometry of plane curves

DOI10.1017/S0013091500019672zbMath0965.53013WikidataQ115336750 ScholiaQ115336750MaRDI QIDQ4400088

Takasi Sano, Shyuichi Izumiya

Publication date: 2 August 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

plane curvessingularity theoryaffine invariants

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15) Critical points of functions and mappings on manifolds (58K05)

Related Items (10)

Geometric purity, kinematic scaling and dynamic optimality in drawing movements beyond ellipses ⋮ Canonical frames of a curve in multidimensional affine space ⋮ Symbolic Computation of Equi-affine Evolute for Plane B-Spline Curves ⋮ Affine geometry of equal-volume polygons in 3-space ⋮ The behavior of curvature functions at cusps and inflection points ⋮ General-affine invariants of plane curves and space curves ⋮ Generic equi-centro-affine differential geometry of plane curves ⋮ A simplification of the proof of Bol's conjecture on sextactic points ⋮ On the computation of the affine skeletons of planar curves and the detection of skew symmetry ⋮ Equi-affine plane curves with singular points

Cites Work

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• Generic Geometry
• The existence of sextactic points
• Generic Curves and Surfaces
• On singularities, envelopes and elementary differential geometry
• Generic 1-parameter families of caustics by reflexion in the plane

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