Extensions of translation invariant valuations on polytopes
Metric Geometry
2014-09-03 v2
Abstract
We study translation invariant, real-valued valuations on the class of convex polytopes in Euclidean space and discuss which continuity properties are sufficient for an extension of such valuations to all convex bodies. For this purpose, we introduce flag support measures of convex bodies via a local Steiner formula and derive some of the properties of these measures.
Keywords
Cite
@article{arxiv.1303.4406,
title = {Extensions of translation invariant valuations on polytopes},
author = {Wolfram Hinderer and Daniel Hug and Wolfgang Weil},
journal= {arXiv preprint arXiv:1303.4406},
year = {2014}
}
Comments
minor changes, square brackets replace angle brackets