Vertices and normals passing trough a point of convex curves of constant width and hedgehogs singularities

DOI10.1007/BF02638386zbMath1025.52004OpenAlexW1987431656MaRDI QIDQ1865728

Yves Martinez-Maure

Publication date: 27 March 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02638386

zbMATH Keywords

hedgehogsingularitiesindexgeodesic curvatureGauss-Bonnet formulaverticessupport functionswallowtailevolutecurves of constant widthconvex curvesnormals

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Convex sets in (2) dimensions (including convex curves) (52A10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (2)

A Sturm-type comparison theorem by a geometric study of plane multihedgehogs ⋮ Singularities of virtual polytopes

Cites Work

• Unnamed Item
• Korrektur zu: Existenz eines 6-Normalenpunktes in einem konvexen Körper
• On projective hedgehogs (envelopes parametrized by their Gauss map)
• Hedgehog index: Study and applications

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