arXiv subjects

M. A. Alfonseca

Publications and source records attributed to M. A. Alfonseca.

2 recordsLinked to original sources

arXiv2013

An extension of a result by Lonke to intersection bodies

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 condition and a convexity condition for a body of revolution to be an intersection body of a star body.

math.MG↗

arXiv2013

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

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.

math.MG↗