Cones and convex bodies with modular face lattices
Geometric Topology
2009-03-05 v1 Metric Geometry
Abstract
If a convex body C has modular and irreducible face lattice (and is not strictly convex), there is a face-preserving homeomorphism from C to a section of a cone of hermitian matrices or C has dimension 8, 14 or 26.
Keywords
Cite
@article{arxiv.0903.0643,
title = {Cones and convex bodies with modular face lattices},
author = {D. Labardini-Fragoso and M. Neumann-Coto and M. Takane},
journal= {arXiv preprint arXiv:0903.0643},
year = {2009}
}
Comments
12 pags, 1 figure