The Centro-Affine Hadwiger Theorem
Metric Geometry
2013-07-03 v1
Abstract
All upper semicontinuous and SL(n) invariant valuations on convex bodies containing the origin in their interiors are completely classified. Each such valuation is shown to be a linear combination of the Euler characteristic, the volume, the volume of the polar body, and the recently discovered Orlicz surface areas.
Keywords
Cite
@article{arxiv.1307.0797,
title = {The Centro-Affine Hadwiger Theorem},
author = {Christoph Haberl and Lukas Parapatits},
journal= {arXiv preprint arXiv:1307.0797},
year = {2013}
}