On successive minima-type inequalities for the polar of a convex body

Abstract

Motivated by conjectures of Mahler and Makai Jr., we study bounds on the volume of a convex body in terms of the successive minima of its polar body.

References in corpus (1)

• Density estimates for $k$-impassable lattices of balls and general convex bodies in ${\mathbb{R}}^n$

Cited by in corpus (1)

• Minkowski's successive minima in convex and discrete geometry