The Steiner Formula for Minkowski Valuations
Metric Geometry
2012-08-01 v1 Differential Geometry
Functional Analysis
Abstract
A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used to obtain a family of Brunn-Minkowski type inequalities for rigid motion intertwining Minkowski valuations.
Keywords
Cite
@article{arxiv.1207.7276,
title = {The Steiner Formula for Minkowski Valuations},
author = {Lukas Parapatits and Franz E. Schuster},
journal= {arXiv preprint arXiv:1207.7276},
year = {2012}
}