Convex Bodies with Identical John and LYZ Ellipsoids

Convex Bodies with Identical John and LYZ Ellipsoids

Abstract Convex bodies with identical John and LYZ ellipsoids are characterized. This solves an important problem from convex geometry posed by G. Zhang. As applications, several sharp affine isoperimetric inequalities are established.

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Veröffentlicht in:International mathematics research notices 2018-01, Vol.2018 (2), p.470-491
Hauptverfasser: Zou, Du, Xiong, Ge
Format: Artikel
Sprache:eng
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Zusammenfassung:Abstract Convex bodies with identical John and LYZ ellipsoids are characterized. This solves an important problem from convex geometry posed by G. Zhang. As applications, several sharp affine isoperimetric inequalities are established.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnw265