Floating and Illumination Bodies for Polytopes: Duality Results
Metric Geometry
2019-06-19 v3 Functional Analysis
Abstract
We consider the question how well a floating body can be approximated by the polar of the illumination body of the polar. We establish precise convergence results in the case of centrally symmetric polytopes. This leads to a new affine invariant which is related to the cone measure of the polytope.
Keywords
Cite
@article{arxiv.1709.02429,
title = {Floating and Illumination Bodies for Polytopes: Duality Results},
author = {Olaf Mordhorst and Elisabeth M. Werner},
journal= {arXiv preprint arXiv:1709.02429},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1709.02424