Characterization of ellipsoids as K-dense sets

DOI10.1017/S030821051500044XzbMath1342.52005arXiv1308.0817OpenAlexW2964159277MaRDI QIDQ2799617

Rolando Magnanini, Michele Marini

Publication date: 13 April 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0817

zbMATH Keywords

convex bodiesaffine inequalitiesuniformly dense sets

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Stationary isothermic surfaces in Euclidean 3-space ⋮ Rigidity for measurable sets

Cites Work

• Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
• Interaction between nonlinear diffusion and geometry of domain
• On the Vector Sum of Two Convex Sets in Space
• Smoothness of sums of convex sets with real analytic boundaries.
• Über eine Integralgleichung in der Theorie der konvexen Körper

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