Centro-Affine Tensor Valuations
Metric Geometry
2015-09-15 v1
Abstract
We completely classify all measurable -covariant symmetric tensor valuations on convex polytopes containing the origin in their interiors. It is shown that essentially the only examples of such valuations are the moment tensor and a tensor derived from surface area measures. This generalizes and unifies earlier results for the scalar, vector and matrix valued case.
Keywords
Cite
@article{arxiv.1509.03831,
title = {Centro-Affine Tensor Valuations},
author = {Christoph Haberl and Lukas Parapatits},
journal= {arXiv preprint arXiv:1509.03831},
year = {2015}
}