Contre-exemple à une caractérisation conjecturée de la sphère

DOI10.1016/S0764-4442(00)01756-0zbMath1008.53002OpenAlexW2062783233MaRDI QIDQ2708169

Yves Martinez-Maure

Publication date: 28 March 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)01756-0

zbMATH Keywords

convex surfacehedgehogssurfaces of constant width

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (19)

A quasiconformal Hopf soap bubble theorem ⋮ On a functional equation related to a pair of hedgehogs with congruent projections ⋮ A new example of a hyperbolic virtual polytope ⋮ Pointed spherical tilings and hyperbolic virtual polytopes ⋮ On the concurrent normals conjecture for convex bodies ⋮ Uniqueness results for the Minkowski problem extended to hedgehogs ⋮ Rigidity and flexibility of virtual polytopes ⋮ An illustrated theory of hyperbolic virtual polytopes ⋮ New notion of index for hedgehogs of \(\mathbb R^3\) and applications ⋮ Isotopy problems for saddle surfaces ⋮ Minkowski-type and Alexandrov-type theorems for polyhedral herissons ⋮ Ends of negatively curved surfaces in Euclidean space ⋮ On hyperbolic virtual polytopes and hyperbolic fans ⋮ A Sturm-type comparison theorem by a geometric study of plane multihedgehogs ⋮ A proof of Alexandrov's uniqueness theorem for convex surfaces in \(\mathbb R^3\) ⋮ Hedgehog theory via Euler calculus ⋮ Minimizers of convex functionals with small degeneracy set ⋮ Hilbert's 19th problem revisited ⋮ Hedgehog theory and polytopes

This page was built for publication: Contre-exemple à une caractérisation conjecturée de la sphère