The volume product of convex bodies with many hyperplane symmetries

Nazarov, On convex bodies and log-concave probability measures with unconditional basis, Geom.. Aspects

Cheeger-Gromoll [3] proved the following splitting theorem for complete manifolds of nonnegative sectional curvature by constructing an expanding filtration of M by compact

Keywords: Optimization, Convex functions, Numerical schemes, Convex bodies, Newton’s problem of the body of minimal resistance, Alexandrov, Cheeger.. AMS classification: 46N10,

Theorem 2.1 also shows that the constants F k,d of Theorem 1.1 may be expressed in terms of integrals of one and two point correlation functions of a scaling limit k-face functional ξ

From Theorem 2.2(3), one can see that an extremal curve for V K may not be unique for a given eccentricity and orientation if K contains parallel line segments in its boundary ∂K (as

This inequality is proved by using a generalization of the Petty projection inequality to compact sets that is established in this paper (see 30], 31], 16], 26], 38] and 42] for

In particular, we prove that the supremum is reached at a simplicial polytope with exactly m vertices and we provide a new proof of a result of Meyer and Reisner showing that, in

I CEA-Leti has designed small sensors that can measure their orientation.. I Applications in monitoring the deformations of a known