An extension of a result by Lonke to intersection bodies
Metric Geometry
2013-04-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1303.3880,
title = {An extension of a result by Lonke to intersection bodies},
author = {M. A. Alfonseca},
journal= {arXiv preprint arXiv:1303.3880},
year = {2013}
}
Comments
20 pages, 5 figures