A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball

DOI10.1016/j.aim.2021.107920zbMath1473.52014arXiv2101.08384OpenAlexW3184690603WikidataQ114211590 ScholiaQ114211590MaRDI QIDQ822711

Vladyslav Yaskin, M. Angeles Alfonseca, Dmitri Ryabogin, F. L. Nazarov

Publication date: 23 September 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08384

zbMATH Keywords

projections and sections of convex bodies, Busemann-Petty problems

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (2)

On minmax and maxmin inequalities for centered convex bodies ⋮ A characterization of centrally symmetric convex bodies in terms of visual cones

Cites Work

• The unit ball is an attractor of the intersection body operator
• Extended affine surface area
• Maximal functions on the unit n-sphere
• Elliptic partial differential equations of second order
• Antinorms and Radon curves
• The foundations of Minkowskian geometry
• Problems on convex bodies
• Convex Bodies The Brunn-MinkowskiTheory
• The geometry of Minkowski spaces -- a survey. I
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