A Sturm-type comparison theorem by a geometric study of plane multihedgehogs

zbMath1202.26019MaRDI QIDQ733367

Yves Martinez-Maure

Publication date: 15 October 2009

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403726

zbMATH Keywords

hedgehogsingularitiesnumber of zerosperiodic real function

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Functions of one variable (26A99)

Related Items (3)

On inverse construction of isoptics and isochordal-viewed curves ⋮ An explicit characterization of isochordal-viewed multihedgehogs with circular isoptics ⋮ Hedgehog theory via Euler calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multihedgehogs and the Sturm-Hurwitz theorem
• Hedgehog index: Study and applications
• Vertices and normals passing trough a point of convex curves of constant width and hedgehogs singularities
• Contre-exemple à une caractérisation conjecturée de la sphère
• Around four vertices
• New counterexamples to A. D. Alexandrov’s hypothesis
• Geometric Study of Minkowski Differences of Plane Convex Bodies
• Über den Brunn-Minkowskischen Satz

This page was built for publication: A Sturm-type comparison theorem by a geometric study of plane multihedgehogs