Convex Bodies with Identical John and LYZ Ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40003

International Mathematics Research Notices, 1-22, 2016.12
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.
Convex body; John ellipsoid; LYZ ellipsoid; sharp affine isoperimetric inequality
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  • doi: 10.1093/imrn/rnw265
  title={Convex Bodies with Identical John and LYZ Ellipsoids},
  author={Zou Du, and Xiong Ge},
  booktitle={International Mathematics Research Notices},
Zou Du, and Xiong Ge. Convex Bodies with Identical John and LYZ Ellipsoids. 2016. In International Mathematics Research Notices. pp.1-22.
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