Extremal convex bodies for affine measures of symmetry

2019/07/31 by Safronenko, Evgenii
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1908.01058

Abstract

This paper is devoted to measures of symmetry based on distance between centroid and one of the centers of John and Lowner ellipsoid. The author proves the accuracy of the derived upper bounds for the considered measures of symmetry.

Related

• On Axial Symmetry in Convex Bodies
• On measures of symmetry and floating bodies
• Stability of the Blaschke-Santaló and the affine isoperimetric inequality
• Some Affine Invariants Revisited
• Centroid Bodies and the Logarithmic Laplace Transform - A Unified Approach