New notion of index for hedgehogs of \(\mathbb R^3\) and applications
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Publication:973092
DOI10.1016/j.ejc.2009.11.015zbMath1196.52005OpenAlexW2027977482MaRDI QIDQ973092
Publication date: 28 May 2010
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejc.2009.11.015
Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
Related Items (10)
On a functional equation related to a pair of hedgehogs with congruent projections ⋮ The singular evolutoids set and the extended evolutoids front ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ Derivation of convex surfaces of \(\mathbb R^3\) in Lorentz space and study of their focals ⋮ On the concurrent normals conjecture for convex bodies ⋮ Uniqueness results for the Minkowski problem extended to hedgehogs ⋮ Hedgehog theory via Euler calculus ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs ⋮ Minimizers of convex functionals with small degeneracy set ⋮ Hilbert's 19th problem revisited
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