Geometric Study of Minkowski Differences of Plane Convex Bodies

DOI10.4153/CJM-2006-025-xzbMath1121.52014OpenAlexW1989045164MaRDI QIDQ5480072

Yves Martinez-Maure

Publication date: 25 July 2006

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

Full work available at URL: https://doi.org/10.4153/cjm-2006-025-x

zbMATH Keywords

radial functionChristoffel-Minkowski problemhedgehog differenceHérrison

Mathematics Subject Classification ID

Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (15)

Hyperbolic geometry of shapes of convex bodies ⋮ On a functional equation related to a pair of hedgehogs with congruent projections ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ The middle hedgehog of a planar convex body ⋮ Iterating evolutes and involutes ⋮ \(\ell\)-convex Legendre curves and geometric inequalities ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ On the concurrent normals conjecture for convex bodies ⋮ Isoperimetric equalities for rosettes ⋮ Uniqueness results for the Minkowski problem extended to hedgehogs ⋮ The geometry of the secant caustic of a planar curve ⋮ New notion of index for hedgehogs of \(\mathbb R^3\) and applications ⋮ A Sturm-type comparison theorem by a geometric study of plane multihedgehogs ⋮ The typical irregularity of virtual convex bodies ⋮ Hedgehog theory via Euler calculus

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