Minkowski Valuations and Generalized Valuations
Metric Geometry
2015-07-21 v1
Abstract
A convolution representation of continuous translation invariant and SO(n) equivariant Minkowski valuations is established. This is based on a new classification of translation invariant generalized spherical valuations. As applications, Crofton and kinematic formulas for Minkowski valuations are obtained.
Cite
@article{arxiv.1507.05412,
title = {Minkowski Valuations and Generalized Valuations},
author = {Franz E. Schuster and Thomas Wannerer},
journal= {arXiv preprint arXiv:1507.05412},
year = {2015}
}