GL(n) contravariant Minkowski valuations
Metric Geometry
2012-08-01 v1 Differential Geometry
Functional Analysis
Abstract
A complete classification of all continuous GL(n) contravariant Minkowski valuations is established. As an application we present a family of sharp isoperimetric inequalities for such valuations which generalize the classical Petty projection inequality.
Keywords
Cite
@article{arxiv.1207.7256,
title = {GL(n) contravariant Minkowski valuations},
author = {Franz E. Schuster and Thomas Wannerer},
journal= {arXiv preprint arXiv:1207.7256},
year = {2012}
}