2 papers
math.MG2013
An extension of a result by Lonke to intersection bodies
M. A. Alfonseca
In this paper we prove that intersection bodies cannot be direct sums using Fourier analytic techniques. This extends a result by Lonke. We also prove a necessary regularity condit…
math.MG2013
Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six
M. A. Alfonseca
We find general geometric conditions on a convex body of revolution K, in dimensions four and six, so that its intersection body IK is not a polar zonoid. We exhibit several exampl…