Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six
arXiv:1303.3813 · doi:10.1016/j.jmaa.2013.03.032
Abstract
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 examples of intersection bodies which are are not polar zonoids.
To appear in the Journal of Mathematical Analysis and Applications, 18 pages, 11 figures