Minkowski Symmetrization and Projection Bodies

摘要

Abstract Using Minkowski symmetrization, we obtain some sharp isoperimetric inequalities involving the mean width and the volume of the projection body (or the polar body of projection body) of an origin-symmetric convex body in Rndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {R}}^n$$end{document}.