Sextactic points on a simple closed curve

DOI10.1017/S0027763000025435zbMath1088.53049arXivmath/0008137MaRDI QIDQ4431469

Gudlaugur Thorbergsson, Masaaki Umehara

Publication date: 22 October 2003

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

Full work available at URL: https://arxiv.org/abs/math/0008137

zbMATH Keywords

real projective planeregular closed curvesextatic point

Mathematics Subject Classification ID

Projective differential geometry (53A20) Topological properties of mappings on manifolds (58K15) (n)-vertex theorems via direct methods (51L15) Geometric orders, order geometry (53C75)

Related Items (13)

Group generated by total sextactic points of a family of quartic curves ⋮ A global theory of flexes of periodic functions ⋮ A refinement of Foreman's four-vertex theorem and its dual version ⋮ Rational points close to non‐singular algebraic curves ⋮ The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere ⋮ General-affine invariants of plane curves and space curves ⋮ Inflection points and double tangents on anti-convex curves in the real projective plane ⋮ Group generated by total sextactic points of Kuribayashi quartic curve ⋮ A simplification of the proof of Bol's conjecture on sextactic points ⋮ THE LOCUS OF SMOOTH PLANE CURVES WITH A SEXTACTIC POINT ⋮ On the Jacobian of Kuribayashi curves ⋮ Natural parameterizations of closed projective plane curves ⋮ Equi-affine plane curves with singular points

Cites Work

• Über die Mindestanzahl stationärer Schmiegebenen bei geschlossenen strengkonvexen Raumkurven
• Duality of real projective plane curves: Klein's equation
• Theorem on six vertices of a plane curve via the Sturm theory
• On a conjecture of G. Bol.
• A global theory of flexes of periodic functions
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