The module of unitarily invariant area measures
Differential Geometry
2013-07-16 v2
Abstract
The hermitian analog of Aleksandrov's area measures of convex bodies is investigated. A characterization of those area measures which arise as the first variation of unitarily invariant valuations is established. General smooth area measures are shown to form a module over smooth valuations and the module of unitarily invariant area measures is described explicitly.
Cite
@article{arxiv.1207.6481,
title = {The module of unitarily invariant area measures},
author = {Thomas Wannerer},
journal= {arXiv preprint arXiv:1207.6481},
year = {2013}
}
Comments
33 pages, minor corrections