Convex Bodies with Identical John and LYZ Ellipsoids

DOI10.1093/imrn/rnw265zbMath1409.52016OpenAlexW2566784708MaRDI QIDQ4619307

Du Zou, Ge Xiong

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnw265

zbMATH Keywords

convex bodiesBall's volume ratio inequalityBarthe's volume ratio inequalityJohn ellipsoidsLYZ ellipsoidsLYZ's volume inequality

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Linear incidence geometry (51A99)

Related Items (3)

The logarithmic John ellipsoid ⋮ The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity ⋮ Extremal problems for \(L_p\) surface areas and John ellipsoids

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