Bodies of constant width in arbitrary dimension
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Publication:5297189
DOI10.1002/mana.200510512zbMath1121.52009OpenAlexW1992689803MaRDI QIDQ5297189
Edouard Oudet, Thomas Lachand-Robert
Publication date: 18 July 2007
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.200510512
Convex functions and convex programs in convex geometry (52A41) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)
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Parametric shape optimization using the support function ⋮ Asymmetry for convex body of revolution ⋮ Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters ⋮ On a formula for sets of constant width in 2D ⋮ Evolving convex surfaces to constant width ones ⋮ Complete sets in normed linear spaces ⋮ Hyperspaces of convex bodies of constant width ⋮ Shape optimization under width constraint ⋮ Meissner polyhedra ⋮ Stability for the Minkowski measure of convex domains of constant width ⋮ Meissner's mysterious bodies ⋮ On the 1-measure of asymmetry for convex bodies of constant width ⋮ Asymmetry of convex bodies of constant width ⋮ Analytic parametrization of three-dimensional bodies of constant width ⋮ Two measures of asymmetry for revolutionary constant width bodies in \(\mathbb{R}^3\) ⋮ Convex values and Lipschitz behavior of the complete hull mapping ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint ⋮ A generalization of domains of constant width ⋮ An open global volume minimization problem
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