Inequalities for the Surface Area of Projections of Convex Bodies
Inequalities for the Surface Area of Projections of Convex Bodies
We provide general inequalities that compare the surface area S(K) of a convex body K in ${\mathbb R}^n$ to the minimal, average or maximal surface area of its hyperplane or lower dimensional projections. We discuss the same questions for all the quermassintegrals of K. We examine separately the dependence of …