Convex valuations invariant under the Lorentz group
Differential Geometry
2013-03-28 v2 Metric Geometry
Abstract
We give an explicit classification of translation-invariant, Lorentz-invariant continuous valuations on convex sets. We also classify the Lorentz-invariant even generalized valuations.
Keywords
Cite
@article{arxiv.1301.6866,
title = {Convex valuations invariant under the Lorentz group},
author = {Semyon Alesker and Dmitry Faifman},
journal= {arXiv preprint arXiv:1301.6866},
year = {2013}
}
Comments
39 pages, second version. The geometrical description of the existing valuations has been slightly expanded, some typos were removed