A SIMPLICIAL POLYTOPE THAT MAXIMIZES THE ISOTROPIC CONSTANT MUST BE A SIMPLEX

DOI10.1112/S0025579315000133zbMath1332.52004arXiv1404.5662OpenAlexW3103550568MaRDI QIDQ3465577

Luis Rademacher

Publication date: 22 January 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5662

zbMATH Keywords

isotropic constantsimplicial polytopes

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Reflection groups, reflection geometries (51F15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Asymptotic theory of convex bodies (52A23)

Related Items (4)

The Slicing Problem by Bourgain ⋮ Isotropic constants and Mahler volumes ⋮ The isotropy constant and boundary properties of convex bodies ⋮ On the shape of a convex body with respect to its second projection body

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