English

Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six

Metric Geometry 2013-04-12 v1

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.

Keywords

Cite

@article{arxiv.1303.3813,
  title  = {Intersection bodies that are not polar zonoids: A flat top condition in dimensions four and six},
  author = {M. A. Alfonseca},
  journal= {arXiv preprint arXiv:1303.3813},
  year   = {2013}
}

Comments

To appear in the Journal of Mathematical Analysis and Applications, 18 pages, 11 figures