A refinement of Foreman's four-vertex theorem and its dual version

DOI10.1215/21562261-1728848zbMath1262.53004OpenAlexW1977775560MaRDI QIDQ1928322

Masaaki Umehara, Gudlaugur Thorbergsson

Publication date: 3 January 2013

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1352987532

zbMATH Keywords

convex curvesfour-vertex theoremsemi-osculating conics

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Projective differential geometry (53A20) Geometric orders, order geometry (53C75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended minimum-number theorems of cyclic and sextactic points on a plane convex oval
• On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
• Ghys's Theorem and Semi-Osculating Conics of Planar Curves
• Sextactic points on a simple closed curve
• A global theory of flexes of periodic functions

This page was built for publication: A refinement of Foreman's four-vertex theorem and its dual version