Minkowski valuations on lattice polytopes
Metric Geometry
2019-06-21 v2
Abstract
A complete classification is established of Minkowski valuations on lattice polytopes that intertwine the special linear group over the integers and are translation invariant. In the contravariant case, the only such valuations are multiples of projection bodies. In the equivariant case, the only such valuations are generalized difference bodies combined with multiples of the newly defined discrete Steiner point.
Keywords
Cite
@article{arxiv.1602.01117,
title = {Minkowski valuations on lattice polytopes},
author = {Karoly J. Boroczky and Monika Ludwig},
journal= {arXiv preprint arXiv:1602.01117},
year = {2019}
}
Comments
accepted in JEMS, 2016