From John to Gauss–John positions via dual mixed volumes

Author:

Bastero Jesús,Bernués Julio,Romance Miguel

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference14 articles.

1. Ellipsoids of maximal volume in convex bodies;Ball;Geom. Dedicata,1992

2. Mesures unimodales et sections des boules Bpn;Barthe;C. R. Acad. Sci. Paris,1995

3. Positions of convex bodies associated to extremal problems and isotropic measures;Bastero;Adv. Math.,2004

4. A characterization of the MM∗-position of a convex body in terms of covariance matrices;Bastero;Israel J. Math.,2004

5. Geometric Tomography;Gardner,1995

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1. Lower dimensional ellipsoids of maximal volume in convex bodies;Journal of Mathematical Inequalities;2022

2. Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds;Advances in Mathematics;2017-01

3. Isomorphic versions of reverse isoperimetric inequalities;Geometriae Dedicata;2015-04-17

4. Extremal problems related to Gauss-John position;Acta Mathematica Sinica, English Series;2012-11-15

5. Mean width inequalities for isotropic measures;Mathematische Zeitschrift;2011-02-16

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